# Mass formula

The mass formula states that mass (m) is calculated as the product of an object’s density (ρ) and its volume (v). Mathematically, the formula for mass is expressed as m = ρ × v. This formula enables the calculation of the mass of an object based on its density and volume.

Contents

## Practice problems

### Problem #1

Calculate the mass of a steel object if the density of steel is 8050 kg/m3 and the volume of the object is 0.012 m3.

Solution

Given data:

• Mass of the object, m = ?
• Density of steel, ρ = 8050 kg/m3
• Volume of the object, v = 0.012 m3

Applying the formula:

• m = ρ × v
• m = 8050 × 0.012
• m = 96.6 kg

Therefore, the mass of a steel object is 96.6 kg.

### Problem #2

If the density of a diamond is 3510 kg/m3 and the volume of the diamond is 0.005 m3, then calculate the mass of the diamond.

Solution

Given data:

• Density of a diamond, ρ = 3510 kg/m3
• Volume of a diamond, v = 0.005 m3
• Mass of a diamond, m = ?

Applying the formula:

• m = ρ × v
• m = 3510 × 0.005
• m = 17.55 kg

Therefore, the mass of a diamond is 17.55 kg.

### Problem #3

The density of silver is 10497 kg/m3 and the volume of the silver object is 0.008 m3. Calculate the mass of the silver object.

Solution

Given data:

• Density of silver, ρ = 10497 kg/m3
• Volume of the object, v = 0.008 m3
• Mass of the object, m = ?

Applying the formula:

• m = ρ × v
• m = 10497 × 0.008
• m = 83.97 kg

Therefore, the mass of a silver is 83.97 kg.

### Problem #4

Find the mass of a block of ice with a density of 917 kg/m3 and a volume of 0.007 m3.

Solution

Given data:

• Mass of ice block, m = ?
• Density of block, ρ = 917 kg/m3
• Volume of block, v = 0.007 m3

Applying the formula:

• m = ρ × v
• m = 917 × 0.007
• m = 6.41 kg

Therefore, the mass of an ice block is 6.41 kg.