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Material Engineering2D

Material Volume Calculator

Calculate material volume from mass and density, or find the mass from known volume.

Inputs
Enter your values below
Result
Volume
—
Enter values and click Calculate
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Formula
mass ÷ density × 1e9
Result unit: mm³

Volume = Mass / Density. Mass in kg, density in kg/m³; × 10⁹ converts m³ to mm³ for convenient display.

Introduction

Calculate the volume of a material given its mass and density. Useful for casting, molding, and material displacement calculations.

How This Calculator Works

Volume = Mass / Density. Mass in kg, density in kg/m³; × 10⁹ converts m³ to mm³ for convenient display.

Step-by-step process:

  1. Enter your input values in the calculator above
  2. The engine converts all inputs to SI base units (meters, kg, Pa)
  3. The formula is evaluated: mass / density * 1e9
  4. Result is formatted with the appropriate unit and precision

Calculation Example

78.5 kg of carbon steel occupies 0.01 m³ = 10,000,000 mm³ (a 100mm × 100mm × 1000mm bar).

Inputs: mass=78.5, density=7850
Result: 10000000 mm³

Engineering Applications

  • •Casting estimation
  • •Displacement calculation
  • •3D printing material
  • •Molding design

Frequently Asked Questions

How do I convert mass to volume?

Volume = Mass / Density. For example, 1 kg of aluminum (2700 kg/m³) = 0.00037 m³ = 0.37 liters.

When would I use this?

Casting volume estimation, material displacement (Archimedes), tank fill calculations, and 3D printing material estimation.

How do I convert volume between m³ and ft³?

1 m³ = 35.315 ft³. For example, 5 m³ = 176.6 ft³. Conversely, divide ft³ by 35.315 to get m³.

Related Calculators

Density CalculatorMetal Weight CalculatorSteel Weight CalculatorAluminum Weight CalculatorCopper Weight CalculatorStainless Steel Weight CalculatorRound Bar Weight CalculatorSteel Plate Weight CalculatorPipe Weight Calculator

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Engineering Disclaimer: Calculations are for reference and educational purposes only. Always verify results independently for engineering design. See full disclaimer.
Reviewed by: Industrial Engineering Team
References: ASME B31.3, ASTM A36, Perry's Chemical Engineers' Handbook