What is the volume of a 250 g block with density 2.0 g/cm^3?

What is the volume of a 250 g block with density 2.0 g/cm^3?

• A. 62.5 cm^3
• B. 125 cm^3
• C. 100 cm^3
• D. 250 cm^3

Answer: (B)

Volume is found from the relationship density = mass over volume. Solve for volume: volume = mass / density. Here the mass is 250 g and the density is 2.0 g/cm^3, so the volume is 250 g ÷ 2.0 g/cm^3 = 125 cm^3. The grams cancel, leaving cubic centimeters. At a density of 2 g per cubic centimeter, about 125 cubic centimeters contain 250 g. (The other numbers would correspond to different densities: 62.5 cm^3 would imply 4 g/cm^3, 100 cm^3 would imply 2.5 g/cm^3, and 250 cm^3 would imply 1 g/cm^3.)

Volume is found from the relationship density = mass over volume. Solve for volume: volume = mass / density. Here the mass is 250 g and the density is 2.0 g/cm^3, so the volume is 250 g ÷ 2.0 g/cm^3 = 125 cm^3. The grams cancel, leaving cubic centimeters. At a density of 2 g per cubic centimeter, about 125 cubic centimeters contain 250 g. (The other numbers would correspond to different densities: 62.5 cm^3 would imply 4 g/cm^3, 100 cm^3 would imply 2.5 g/cm^3, and 250 cm^3 would imply 1 g/cm^3.)