{"id":100074,"date":"2026-02-15T20:15:11","date_gmt":"2026-02-15T20:15:11","guid":{"rendered":"https:\/\/vibromera.eu\/?post_type=calculator&#038;p=100074"},"modified":"2026-02-15T20:15:11","modified_gmt":"2026-02-15T20:15:11","slug":"density-mass-volume","status":"publish","type":"calculator","link":"https:\/\/vibromera.eu\/bn\/calculators\/density-mass-volume\/","title":{"rendered":"\u0998\u09a8\u09a4\u09cd\u09ac \u09ad\u09b0 \u0986\u09af\u09bc\u09a4\u09a8 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0 | \u03c1=m\/V | \u0986\u0995\u09be\u09b0 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0 | \u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u09b8\u09b0\u099e\u09cd\u099c\u09be\u09ae"},"content":{"rendered":"\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"WebApplication\",\"name\":\"Density Mass Volume Calculator\",\"description\":\"Free \u03c1=m\/V calculator with 30+ materials, shape volume, buoyancy, and multi-unit output.\",\"url\":\"https:\/\/vibromera.eu\/calculators\/density-mass-volume\/\",\"applicationCategory\":\"Engineering Calculator\",\"operatingSystem\":\"Any\",\"offers\":{\"@type\":\"Offer\",\"price\":\"0\",\"priceCurrency\":\"EUR\"},\"creator\":{\"@type\":\"Organization\",\"name\":\"Vibromera\",\"url\":\"https:\/\/vibromera.eu\/\"},\"datePublished\":\"2024-01-01\",\"dateModified\":\"2025-06-01\",\"inLanguage\":\"en\",\"isAccessibleForFree\":true}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[\n{\"@type\":\"Question\",\"name\":\"What is density?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Density (\u03c1) is mass per unit volume, typically in kg\/m\u00b3 or g\/cm\u00b3. It describes how tightly matter is packed. Steel \u2248 7850 kg\/m\u00b3, aluminum \u2248 2700 kg\/m\u00b3, water = 1000 kg\/m\u00b3.\"}},\n{\"@type\":\"Question\",\"name\":\"How do I calculate mass from density and volume?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Mass = Density \u00d7 Volume (m = \u03c1 \u00d7 V). For example: a 0.5 m\u00b3 block of steel (7850 kg\/m\u00b3) weighs 7850 \u00d7 0.5 = 3925 kg.\"}},\n{\"@type\":\"Question\",\"name\":\"How do I calculate volume from dimensions?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Cube: V=a\u00b3. Cylinder: V=\u03c0\u00d7r\u00b2\u00d7h. Sphere: V=4\/3\u00d7\u03c0\u00d7r\u00b3. Hollow cylinder: V=\u03c0\u00d7(R\u00b2-r\u00b2)\u00d7h. Cone: V=1\/3\u00d7\u03c0\u00d7r\u00b2\u00d7h.\"}},\n{\"@type\":\"Question\",\"name\":\"What is buoyancy?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"Buoyancy force equals the weight of displaced fluid: F_b = \u03c1_fluid \u00d7 V \u00d7 g. 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Steel SG \u2248 7.85, aluminum SG \u2248 2.70, titanium SG \u2248 4.51.\"}}\n]}<\/script>\n\n<script type=\"application\/ld+json\">{\"@context\":\"https:\/\/schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/vibromera.eu\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Calculators\",\"item\":\"https:\/\/vibromera.eu\/calculators\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Density Mass Volume\",\"item\":\"https:\/\/vibromera.eu\/calculators\/density-mass-volume\/\"}]}<\/script>\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n\n<link rel=\"preconnect\" href=\"https:\/\/fonts.gstatic.com\" crossorigin>\n\n<link 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8px}\n.vc-shape-fields{display:none;margin-top:12px;padding:12px;background:var(--vc-surface-alt);border:1px solid var(--vc-border-light);border-radius:6px}\n.vc-shape-fields.vc-active{display:grid;grid-template-columns:1fr 1fr;gap:12px}\n@media(max-width:500px){.vc-shape-fields.vc-active{grid-template-columns:1fr}}\n@media print{.vc-section-body{max-height:none!important}.vc-faq-a{max-height:none!important}.vc-results{max-height:none!important;padding:24px!important}.vc-copy-btn,.vc-section-chevron,.vc-faq-chevron,.vc-presets,.vc-promo{display:none!important}}\n<\/style>\n\n<div class=\"vc-calculator\" id=\"vc-density\">\n\n<header class=\"vc-header\">\n    <p class=\"vc-header-eyebrow\">Free Engineering Tool<\/p>\n    <h1 class=\"vc-header-title\">Density \/ Mass \/ Volume Calculator<\/h1>\n    <p class=\"vc-header-subtitle\">Solve for any one of density, mass, or volume. 30+ material presets, shape-based volume calculator, buoyancy check, and multi-unit output.<\/p>\n    <div class=\"vc-badges\">\n        <span class=\"vc-badge\">\u03c1 = m \/ V<\/span>\n        <span class=\"vc-badge\">30+ Materials<\/span>\n        <span class=\"vc-badge\">Shape Volume<\/span>\n        <span class=\"vc-badge\">Buoyancy<\/span>\n    <\/div>\n<\/header>\n\n<div class=\"vc-card\">\n    <div class=\"vc-unit-bar\">\n        <button type=\"button\" class=\"vc-unit-btn vc-active\" data-system=\"metric\">Metric (kg, m\u00b3)<\/button>\n        <button type=\"button\" class=\"vc-unit-btn\" data-system=\"imperial\">Imperial (lb, ft\u00b3)<\/button>\n    <\/div>\n    <form class=\"vc-form\" id=\"vc-form\" autocomplete=\"off\">\n        <div class=\"vc-form-grid\">\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-solve\">Solve For<\/label>\n                <select class=\"vc-select\" id=\"vc-solve\">\n                    <option value=\"mass\" selected>Mass (m = \u03c1 \u00d7 V)<\/option>\n                    <option value=\"volume\">Volume (V = m \/ \u03c1)<\/option>\n                    <option value=\"density\">Density (\u03c1 = m \/ V)<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-material\">Material Preset<\/label>\n                <select class=\"vc-select\" id=\"vc-material\">\n                    <option value=\"\">Custom<\/option>\n                    <optgroup label=\"Ferrous Metals\">\n                        <option value=\"7850\" selected>Carbon Steel (7850)<\/option>\n                        <option value=\"7930\">Stainless 304 (7930)<\/option>\n                        <option value=\"8000\">Stainless 316 (8000)<\/option>\n                        <option value=\"7200\">Cast Iron, Gray (7200)<\/option>\n                        <option value=\"7300\">Ductile Iron (7300)<\/option>\n                        <option value=\"7870\">Wrought Iron (7870)<\/option>\n                        <option value=\"7750\">Tool Steel (7750)<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Non-Ferrous Metals\">\n                        <option value=\"2700\">Aluminum 6061 (2700)<\/option>\n                        <option value=\"2810\">Aluminum 7075 (2810)<\/option>\n                        <option value=\"8900\">Copper (8900)<\/option>\n                        <option value=\"8500\">Brass (8500)<\/option>\n                        <option value=\"8800\">Bronze (8800)<\/option>\n                        <option value=\"4510\">Titanium (4510)<\/option>\n                        <option value=\"1740\">Magnesium (1740)<\/option>\n                        <option value=\"7140\">Zinc (7140)<\/option>\n                        <option value=\"11340\">Lead (11340)<\/option>\n                        <option value=\"19300\">Gold (19300)<\/option>\n                        <option value=\"10490\">Silver (10490)<\/option>\n                        <option value=\"8908\">Nickel (8908)<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Plastics &#038; Composites\">\n                        <option value=\"920\">HDPE (920)<\/option>\n                        <option value=\"1400\">PVC (1400)<\/option>\n                        <option value=\"1050\">Nylon 6 (1050)<\/option>\n                        <option value=\"1200\">Polycarbonate (1200)<\/option>\n                        <option value=\"910\">Polypropylene (910)<\/option>\n                        <option value=\"1300\">PTFE \/ Teflon (1300)<\/option>\n                        <option value=\"1550\">CFRP (1550)<\/option>\n                        <option value=\"1900\">GFRP (1900)<\/option>\n                    <\/optgroup>\n                    <optgroup label=\"Other\">\n                        <option value=\"2500\">Concrete (2500)<\/option>\n                        <option value=\"2200\">Glass (2200)<\/option>\n                        <option value=\"600\">Wood, Oak (600)<\/option>\n                        <option value=\"450\">Wood, Pine (450)<\/option>\n                        <option value=\"1000\">Water (1000)<\/option>\n                        <option value=\"1025\">Seawater (1025)<\/option>\n                        <option value=\"870\">Diesel Fuel (870)<\/option>\n                        <option value=\"789\">Ethanol (789)<\/option>\n                    <\/optgroup>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-density-in\">Density \u03c1 <span class=\"vc-label-hint\" id=\"vc-dens-hint\">(kg\/m\u00b3)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-density-in\" step=\"any\" min=\"0\" value=\"7850\">\n            <\/div>\n            <div class=\"vc-field\">\n                <label class=\"vc-label\" for=\"vc-shape\">Volume from Shape<\/label>\n                <select class=\"vc-select\" id=\"vc-shape\">\n                    <option value=\"manual\" selected>Enter manually<\/option>\n                    <option value=\"cube\">Cube \/ Rectangular block<\/option>\n                    <option value=\"cylinder\">Solid Cylinder<\/option>\n                    <option value=\"hollow\">Hollow Cylinder (Pipe)<\/option>\n                    <option value=\"sphere\">Sphere<\/option>\n                    <option value=\"cone\">Cone<\/option>\n                <\/select>\n            <\/div>\n            <div class=\"vc-field\" id=\"vc-mass-field\">\n                <label class=\"vc-label\" for=\"vc-mass-in\">Mass <span class=\"vc-label-hint\" id=\"vc-mass-hint\">(kg)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-mass-in\" step=\"any\" min=\"0\" value=\"\" placeholder=\"calculated\">\n            <\/div>\n            <div class=\"vc-field\" id=\"vc-vol-field\">\n                <label class=\"vc-label\" for=\"vc-vol-in\">Volume <span class=\"vc-label-hint\" id=\"vc-vol-hint\">(m\u00b3)<\/span><\/label>\n                <input class=\"vc-input\" type=\"number\" id=\"vc-vol-in\" step=\"any\" min=\"0\" value=\"0.01\" placeholder=\"e.g. 0.01\">\n            <\/div>\n        <\/div>\n\n        <!-- Shape dimension fields -->\n        <div class=\"vc-shape-fields\" id=\"vc-shape-dims\">\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dim-a\">Length \/ Side a <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dim-a\" step=\"any\" value=\"100\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dim-b\">Width b <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dim-b\" step=\"any\" value=\"100\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dim-h\">Height \/ Length h <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dim-h\" step=\"any\" value=\"100\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dim-r\">Outer Radius R <span class=\"vc-label-hint\">(mm)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dim-r\" step=\"any\" value=\"50\"><\/div>\n            <div class=\"vc-field\"><label class=\"vc-label\" for=\"vc-dim-ri\">Inner Radius r <span class=\"vc-label-hint\">(mm, hollow only)<\/span><\/label><input class=\"vc-input\" type=\"number\" id=\"vc-dim-ri\" step=\"any\" value=\"40\"><\/div>\n        <\/div>\n\n        <div class=\"vc-presets\">\n            <div class=\"vc-presets-label\">Quick presets<\/div>\n            <button type=\"button\" class=\"vc-preset-btn\" data-d=\"7850\" data-v=\"0.001\" data-s=\"mass\">1 L Steel block<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-d=\"2700\" data-v=\"0.01\" data-s=\"mass\">10 L Aluminum<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-d=\"8900\" data-v=\"0.0005\" data-s=\"mass\">0.5 L Copper<\/button>\n            <button type=\"button\" class=\"vc-preset-btn\" data-d=\"1000\" data-v=\"1\" data-s=\"mass\">1 m\u00b3 Water<\/button>\n        <\/div>\n    <\/form>\n\n    <div class=\"vc-results\" id=\"vc-results\">\n        <div class=\"vc-results-head\">\n            <h2 class=\"vc-results-title\">Results<\/h2>\n            <button type=\"button\" class=\"vc-copy-btn\" id=\"vc-copy-btn\"><svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy<\/button>\n        <\/div>\n        <div class=\"vc-result-grid\">\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Density \u03c1<\/div><div class=\"vc-rcard-value\" id=\"vc-r-dens\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Mass m<\/div><div class=\"vc-rcard-value\" id=\"vc-r-mass\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard vc-rcard-primary\"><div class=\"vc-rcard-label\">Volume V<\/div><div class=\"vc-rcard-value\" id=\"vc-r-vol\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Weight (multiple units)<\/div><div class=\"vc-rcard-value\" id=\"vc-r-weight\" style=\"font-size:16px\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Specific Gravity<\/div><div class=\"vc-rcard-value\" id=\"vc-r-sg\">\u2014<\/div><\/div>\n            <div class=\"vc-rcard\"><div class=\"vc-rcard-label\">Buoyancy in Water<\/div><div class=\"vc-rcard-value\" id=\"vc-r-buoy\" style=\"font-size:14px\">\u2014<\/div><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Theory -->\n<div class=\"vc-section vc-open\" id=\"vc-sec-theory\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"true\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udcd8<\/span><span class=\"vc-section-title\">Theory, Formulas &amp; Material Database<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\">\n        <div class=\"vc-section-inner vc-theory\">\n            <h3>Fundamental Formulas<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-1\"><\/div>\n            <h3>Shape Volume Formulas<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-2\"><\/div>\n            <h3>Buoyancy<\/h3>\n            <div class=\"vc-formula-box\" id=\"vc-katex-3\"><\/div>\n            <p>An object floats if \u03c1_object &lt; \u03c1_fluid. The net submerged weight = m\u00d7g \u2212 \u03c1_fluid\u00d7V\u00d7g.<\/p>\n\n            <h3>Practical Example<\/h3>\n            <div class=\"vc-example-box\">\n                <div class=\"vc-example-title\">Example \u2014 Steel hollow cylinder (pipe)<\/div>\n                <p><strong>Given:<\/strong> OD=100mm, ID=80mm, Length=500mm, \u03c1=7850 kg\/m\u00b3<\/p>\n                <p>V = \u03c0\u00d7(50\u00b2\u221240\u00b2)\u00d7500 = \u03c0\u00d7(2500\u22121600)\u00d7500 = 1,413,717 mm\u00b3 = 0.001414 m\u00b3<\/p>\n                <p>m = 7850 \u00d7 0.001414 = <strong>11.1 kg<\/strong> = 24.4 lb<\/p>\n                <p>Weight in water: F_b = 1000 \u00d7 0.001414 \u00d7 9.81 = 13.87 N \u2192 submerged weight = 95.0 N<\/p>\n            <\/div>\n\n            <h3>Material Density Database<\/h3>\n            <table class=\"vc-table\">\n                <thead><tr><th>Material<\/th><th>kg\/m\u00b3<\/th><th>g\/cm\u00b3<\/th><th>lb\/ft\u00b3<\/th><\/tr><\/thead>\n                <tbody>\n                    <tr><td>Carbon Steel<\/td><td>7,850<\/td><td>7.85<\/td><td>490<\/td><\/tr>\n                    <tr><td>Stainless 304<\/td><td>7,930<\/td><td>7.93<\/td><td>495<\/td><\/tr>\n                    <tr><td>Stainless 316<\/td><td>8,000<\/td><td>8.00<\/td><td>499<\/td><\/tr>\n                    <tr><td>Cast Iron (Gray)<\/td><td>7,200<\/td><td>7.20<\/td><td>449<\/td><\/tr>\n                    <tr><td>Aluminum 6061<\/td><td>2,700<\/td><td>2.70<\/td><td>169<\/td><\/tr>\n                    <tr><td>Aluminum 7075<\/td><td>2,810<\/td><td>2.81<\/td><td>175<\/td><\/tr>\n                    <tr><td>Copper<\/td><td>8,900<\/td><td>8.90<\/td><td>556<\/td><\/tr>\n                    <tr><td>Brass<\/td><td>8,500<\/td><td>8.50<\/td><td>531<\/td><\/tr>\n                    <tr><td>Bronze<\/td><td>8,800<\/td><td>8.80<\/td><td>549<\/td><\/tr>\n                    <tr><td>Titanium<\/td><td>4,510<\/td><td>4.51<\/td><td>282<\/td><\/tr>\n                    <tr><td>Magnesium<\/td><td>1,740<\/td><td>1.74<\/td><td>109<\/td><\/tr>\n                    <tr><td>Lead<\/td><td>11,340<\/td><td>11.34<\/td><td>708<\/td><\/tr>\n                    <tr><td>Nickel<\/td><td>8,908<\/td><td>8.91<\/td><td>556<\/td><\/tr>\n                    <tr><td>Gold<\/td><td>19,300<\/td><td>19.30<\/td><td>1,205<\/td><\/tr>\n                    <tr><td>HDPE<\/td><td>920<\/td><td>0.92<\/td><td>57<\/td><\/tr>\n                    <tr><td>PVC<\/td><td>1,400<\/td><td>1.40<\/td><td>87<\/td><\/tr>\n                    <tr><td>PTFE (Teflon)<\/td><td>2,200<\/td><td>2.20<\/td><td>137<\/td><\/tr>\n                    <tr><td>Concrete<\/td><td>2,500<\/td><td>2.50<\/td><td>156<\/td><\/tr>\n                    <tr><td>Glass<\/td><td>2,200<\/td><td>2.20<\/td><td>137<\/td><\/tr>\n                    <tr><td>Oak Wood<\/td><td>600<\/td><td>0.60<\/td><td>37<\/td><\/tr>\n                    <tr><td>Water (20\u00b0C)<\/td><td>1,000<\/td><td>1.00<\/td><td>62.4<\/td><\/tr>\n                    <tr><td>Seawater<\/td><td>1,025<\/td><td>1.025<\/td><td>64.0<\/td><\/tr>\n                    <tr><td>Diesel Fuel<\/td><td>870<\/td><td>0.87<\/td><td>54.3<\/td><\/tr>\n                <\/tbody>\n            <\/table>\n        <\/div>\n    <\/div>\n<\/div>\n\n<!-- Related -->\n<div class=\"vc-section\" id=\"vc-sec-related\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\ud83d\udd17<\/span><span class=\"vc-section-title\">Related Calculators<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-related\">\n        <a class=\"vc-related-link\" href=\"\/calculators\/steel-properties-lookup\/\">Steel Properties<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/strength-unit-converter\/\">Strength Converter<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/thermal-expansion-calculator\/\">Thermal Expansion<\/a>\n        <a class=\"vc-related-link\" href=\"\/calculators\/ultrasound-velocity-materials\/\">Ultrasound Velocity<\/a>\n    <\/div><\/div><\/div>\n<\/div>\n\n<!-- FAQ -->\n<div class=\"vc-section\" id=\"vc-sec-faq\">\n    <button type=\"button\" class=\"vc-section-toggle\" aria-expanded=\"false\"><span class=\"vc-section-toggle-text\"><span class=\"vc-section-icon\">\u2753<\/span><span class=\"vc-section-title\">Frequently Asked Questions<\/span><\/span><svg class=\"vc-section-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button>\n    <div class=\"vc-section-body\"><div class=\"vc-section-inner\"><div class=\"vc-faq-list\" id=\"vc-faq-list\"><\/div><\/div><\/div>\n<\/div>\n\n<div class=\"vc-promo\"><div class=\"vc-promo-text\"><strong>Vibromera \u2014 Portable Balancing &amp; Vibration Analysis<\/strong><br>Professional field balancing instruments. Used in 50+ countries.<\/div><a class=\"vc-promo-link\" href=\"https:\/\/vibromera.eu\/\" target=\"_blank\" rel=\"noopener\">Learn More<\/a><\/div>\n<footer class=\"vc-footer\"><p>\u00a9 2024\u20132025 <a href=\"https:\/\/vibromera.eu\/\">Vibromera<\/a> \u2014 Engineering Calculators<\/p><p style=\"font-size:12px;margin-top:4px\">Last updated: June 2025<\/p><div class=\"vc-footer-links\"><a href=\"\/calculators\/engineering-calculators\/\">All Calculators<\/a><a href=\"https:\/\/vibromera.eu\/contacts\/\">Contact<\/a><\/div><\/footer>\n\n<\/div>\n\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/katex@0.16.11\/dist\/katex.min.js\"><\/script>\n<script>\n(function(){\n    'use strict';\n    var SLUG='density-mass-volume';\n    var unitSystem='metric';\n    var KG2LB=2.20462, M3_TO_FT3=35.3147;\n\n    function $(id){return document.getElementById(id)}\n    function fmt(n,d){if(isNaN(n)||!isFinite(n))return'\u2014';return n.toFixed(d===undefined?4:d).replace(\/(\\.\\d*?)0+$\/,'$1').replace(\/\\.$\/,'')}\n\n    \/\/ Material select\n    $('vc-material').addEventListener('change',function(){if(this.value)$('vc-density-in').value=this.value;calculate()});\n\n    \/\/ Shape select\n    $('vc-shape').addEventListener('change',function(){\n        var s=this.value;\n        var dims=$('vc-shape-dims');\n        if(s==='manual'){dims.classList.remove('vc-active');return}\n        dims.classList.add('vc-active');\n        \/\/ Show\/hide relevant fields\n        $('vc-dim-b').parentElement.style.display=(s==='cube')?'':'none';\n        $('vc-dim-r').parentElement.style.display=(s!=='cube')?'':'none';\n        $('vc-dim-ri').parentElement.style.display=(s==='hollow')?'':'none';\n        $('vc-dim-h').parentElement.style.display=(s!=='sphere')?'':'none';\n        $('vc-dim-a').parentElement.style.display=(s==='cube')?'':'none';\n        calcShapeVol();\n    });\n\n    function calcShapeVol(){\n        var s=$('vc-shape').value;\n        if(s==='manual')return;\n        var a=parseFloat($('vc-dim-a').value)||0;\n        var b=parseFloat($('vc-dim-b').value)||0;\n        var h=parseFloat($('vc-dim-h').value)||0;\n        var R=parseFloat($('vc-dim-r').value)||0;\n        var ri=parseFloat($('vc-dim-ri').value)||0;\n        var vol=0; \/\/ mm\u00b3\n        if(s==='cube') vol=a*b*h;\n        else if(s==='cylinder') vol=Math.PI*R*R*h;\n        else if(s==='hollow') vol=Math.PI*(R*R-ri*ri)*h;\n        else if(s==='sphere') vol=(4\/3)*Math.PI*R*R*R;\n        else if(s==='cone') vol=(1\/3)*Math.PI*R*R*h;\n        $('vc-vol-in').value=fmt(vol\/1e9,9); \/\/ m\u00b3\n        calculate();\n    }\n\n    \/\/ Listen to shape dim changes\n    ['vc-dim-a','vc-dim-b','vc-dim-h','vc-dim-r','vc-dim-ri'].forEach(function(id){\n        $(id).addEventListener('input',function(){calcShapeVol()});\n    });\n\n    function calculate(){\n        var solve=$('vc-solve').value;\n        var 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('+fmt(netW\/9.81,2)+' kg apparent)';\n        }\n\n        $('vc-results').classList.add('vc-visible');\n\n        \/\/ URL\n        try{var u=new URL(window.location);u.searchParams.set('d',d);u.searchParams.set('m',m);u.searchParams.set('v',v);u.searchParams.set('solve',solve);history.replaceState(null,'',u.toString())}catch(e){}\n\n        saveHistory({d:d,m:fmt(m,3),v:fmt(v,6),_summary:'\u03c1='+fmt(d,0)+', m='+fmt(m,2)+'kg, V='+fmt(v*1000,2)+'L'});\n    }\n\n    \/\/ Unit toggle\n    var unitBtns=document.querySelectorAll('.vc-unit-btn');\n    unitBtns.forEach(function(btn){btn.addEventListener('click',function(){\n        unitBtns.forEach(function(b){b.classList.remove('vc-active')});\n        this.classList.add('vc-active');\n        unitSystem=this.getAttribute('data-system');\n        $('vc-dens-hint').textContent=unitSystem==='imperial'?'(lb\/ft\u00b3)':'(kg\/m\u00b3)';\n        $('vc-mass-hint').textContent=unitSystem==='imperial'?'(lb)':'(kg)';\n        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'+$('vc-r-dens').textContent+'\\nMass: '+$('vc-r-mass').textContent+'\\nVolume: '+$('vc-r-vol').textContent+'\\nWeight: '+$('vc-r-weight').textContent+'\\nSG: '+$('vc-r-sg').textContent+'\\nBuoyancy: '+$('vc-r-buoy').textContent+'\\n\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\\nvibromera.eu';\n        if(navigator.clipboard){navigator.clipboard.writeText(text).then(function(){var b=$('vc-copy-btn');b.classList.add('vc-copied');b.innerHTML='Copied!';setTimeout(function(){b.classList.remove('vc-copied');b.innerHTML='<svg width=\"14\" height=\"14\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><rect x=\"9\" y=\"9\" width=\"13\" height=\"13\" rx=\"2\"\/><path d=\"M5 15H4a2 2 0 01-2-2V4a2 2 0 012-2h9a2 2 0 012 2v1\"\/><\/svg> Copy'},2000)})}\n    });\n\n    \/\/ Sections\n    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Common units: kg\/m\u00b3 (SI), g\/cm\u00b3 (CGS), lb\/ft\u00b3 (imperial). Measured by weighing a known volume, or using Archimedes\\' principle (water displacement).<\/p><p>1 g\/cm\u00b3 = 1000 kg\/m\u00b3. Water at 4\u00b0C has \u03c1 = 1000 kg\/m\u00b3 exactly.<\/p>'},\n        {q:'How do I calculate mass from density and volume?',a:'<p><strong>m = \u03c1 \u00d7 V<\/strong><\/p><p>Example: Steel block 200\u00d7100\u00d750 mm. V = 200\u00d7100\u00d750 = 1,000,000 mm\u00b3 = 0.001 m\u00b3. m = 7850 \u00d7 0.001 = 7.85 kg.<\/p>'},\n        {q:'How does the shape volume calculator work?',a:'<p>Select a shape (cube, cylinder, sphere, cone, hollow cylinder) and enter dimensions in mm. 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SG < 1 means lighter (floats).<\/p><ul><li>Steel: SG \u2248 7.85<\/li><li>Aluminum: SG \u2248 2.70<\/li><li>Oak wood: SG \u2248 0.60 (floats)<\/li><li>HDPE: SG \u2248 0.92 (floats)<\/li><\/ul>'}\n    ];\n    var fl=$('vc-faq-list');faqData.forEach(function(f){fl.innerHTML+='<div class=\"vc-faq-item\"><button type=\"button\" class=\"vc-faq-q\"><span>'+f.q+'<\/span><svg class=\"vc-faq-chevron\" viewBox=\"0 0 24 24\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"2\"><path d=\"M6 9l6 6 6-6\"\/><\/svg><\/button><div class=\"vc-faq-a\"><div class=\"vc-faq-a-inner\">'+f.a+'<\/div><\/div><\/div>'});\n    fl.addEventListener('click',function(e){var b=e.target.closest('.vc-faq-q');if(!b)return;b.closest('.vc-faq-item').classList.toggle('vc-open')});\n\n    \/\/ History\n    function saveHistory(entry){var key='vc_history_'+SLUG;var arr=[];try{arr=JSON.parse(localStorage.getItem(key))||[]}catch(e){}entry._ts=new Date().toISOString();arr.unshift(entry);if(arr.length>10)arr=arr.slice(0,10);try{localStorage.setItem(key,JSON.stringify(arr))}catch(e){}}\n\n    \/\/ URL params\n    function loadParams(){try{var p=new URLSearchParams(window.location.search);if(p.has('d'))$('vc-density-in').value=p.get('d');if(p.has('v'))$('vc-vol-in').value=p.get('v');if(p.has('m'))$('vc-mass-in').value=p.get('m');if(p.has('solve'))$('vc-solve').value=p.get('solve')}catch(e){}}\n\n    \/\/ KaTeX\n    function renderFormulas(){try{\n        katex.render('\\\\rho = \\\\frac{m}{V} \\\\qquad m = \\\\rho \\\\cdot V \\\\qquad V = \\\\frac{m}{\\\\rho}',$('vc-katex-1'),{displayMode:true,throwOnError:false});\n        katex.render('V_{\\\\text{cyl}} = \\\\pi R^2 h \\\\quad V_{\\\\text{hollow}} = \\\\pi(R^2 - r^2)h \\\\quad V_{\\\\text{sphere}} = \\\\tfrac{4}{3}\\\\pi R^3',$('vc-katex-2'),{displayMode:true,throwOnError:false});\n        katex.render('F_b = \\\\rho_{\\\\text{fluid}} \\\\cdot V \\\\cdot g \\\\quad \\\\text{Object floats if } \\\\rho_{\\\\text{obj}} < \\\\rho_{\\\\text{fluid}}',$('vc-katex-3'),{displayMode:true,throwOnError:false});\n    }catch(e){}}\n\n    function init(){\n        try{var saved=localStorage.getItem('vc_units');if(saved==='imperial'){unitSystem='imperial';unitBtns.forEach(function(b){b.classList.toggle('vc-active',b.getAttribute('data-system')==='imperial')})}}catch(e){}\n        loadParams();renderFormulas();calculate();\n    }\n    if(document.readyState==='loading')document.addEventListener('DOMContentLoaded',init);else init();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>\u09ac\u09bf\u09a8\u09be\u09ae\u09c2\u09b2\u09cd\u09af\u09c7 \u0998\u09a8\u09a4\u09cd\u09ac\/\u09ad\u09b0\/\u0986\u09af\u09bc\u09a4\u09a8 \u0995\u09cd\u09af\u09be\u09b2\u0995\u09c1\u09b2\u09c7\u099f\u09b0\u0964 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u099a\u09b2\u0995 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09c1\u09a8\u0964 \u09e9\u09e6+ \u0989\u09aa\u0995\u09b0\u09a3 \u09aa\u09cd\u09b0\u09bf\u09b8\u09c7\u099f, \u0986\u0995\u09be\u09b0-\u09ad\u09bf\u09a4\u09cd\u09a4\u09bf\u0995 \u0986\u09af\u09bc\u09a4\u09a8 (\u0998\u09a8\u0995, \u09b8\u09bf\u09b2\u09bf\u09a8\u09cd\u09a1\u09be\u09b0, \u0997\u09cb\u09b2\u0995, \u09b6\u0999\u09cd\u0995\u09c1, \u09ab\u09be\u0981\u09aa\u09be \u09b8\u09bf\u09b2\u09bf\u09a8\u09cd\u09a1\u09be\u09b0), \u09aa\u09cd\u09b2\u09ac\u09a4\u09be, \u09ac\u09b9\u09c1-\u0987\u0989\u09a8\u09bf\u099f \u0986\u0989\u099f\u09aa\u09c1\u099f\u0964<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[],"tags":[],"class_list":["post-100074","calculator","type-calculator","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100074","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator"}],"about":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/types\/calculator"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100074\/revisions"}],"predecessor-version":[{"id":100389,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/calculator\/100074\/revisions\/100389"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/media?parent=100074"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/categories?post=100074"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/bn\/wp-json\/wp\/v2\/tags?post=100074"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}