Mass Calculator
Free Mass Calculator for math. Enter values to solve step-by-step with verified formulas, worked examples, and detailed explanations. Free math tool.
Formula
Mass = Density × Volume
Mass equals density multiplied by volume. Rearrange to find density (m÷V) or volume (m÷ρ). Ensure consistent units.
Worked Examples
Example 1: Steel Beam Mass
Problem:Calculate the mass of a steel beam with volume 0.05 m³.
Solution:Density of steel = 7850 kg/m³\nVolume = 0.05 m³\n\nMass = Density × Volume\nMass = 7850 × 0.05 = 392.5 kg\n\nIn pounds: 392.5 × 2.205 = 865.5 lb
Result:392.5 kg (865.5 lb)
Example 2: Water Tank Volume
Problem:How much volume does 500 kg of water occupy?
Solution:Density of water = 1000 kg/m³\nMass = 500 kg\n\nVolume = Mass ÷ Density\nVolume = 500 ÷ 1000 = 0.5 m³\n\nIn liters: 0.5 × 1000 = 500 L
Result:0.5 m³ (500 liters)
Example 3: Unknown Material Density
Problem:An object has mass 270 g and volume 100 cm³. What material might it be?
Solution:Mass = 270 g = 0.27 kg\nVolume = 100 cm³ = 0.0001 m³\n\nDensity = Mass ÷ Volume\nDensity = 0.27 ÷ 0.0001 = 2700 kg/m³\n\nThis matches aluminum!
Result:2700 kg/m³ (Aluminum)
Frequently Asked Questions
How do I calculate mass from density and volume?
Use the formula: Mass = Density × Volume. For example, if water has density 1000 kg/m³ and volume is 0.5 m³, then mass = 1000 × 0.5 = 500 kg. Make sure units are consistent.
What is the difference between mass and weight?
Mass is the amount of matter in an object (measured in kg), while weight is the gravitational force on that mass (measured in Newtons). On Earth, weight = mass × 9.81 m/s². Mass is constant everywhere; weight varies with gravity.
How do I calculate mass of irregular objects?
Use water displacement: submerge the object in water and measure the volume of water displaced. Then multiply by the material's density. This is Archimedes' method.