Mass can be calculated as which relationship?

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Multiple Choice

Mass can be calculated as which relationship?

Explanation:
Mass is found by multiplying volume by density because density is defined as mass per unit volume. When you multiply density (mass per volume) by volume, the volume units cancel, leaving mass. In equation form, mass = density × volume. For example, with a density of 1,000 kg/m^3 and a volume of 0.5 m^3, the mass is 1,000 × 0.5 = 500 kg. Other relationships don’t yield mass: density divided by volume would give a quantity with units of mass per volume squared, not mass; volume plus density mixes incompatible units; and mass times gravity gives weight, not mass.

Mass is found by multiplying volume by density because density is defined as mass per unit volume. When you multiply density (mass per volume) by volume, the volume units cancel, leaving mass. In equation form, mass = density × volume. For example, with a density of 1,000 kg/m^3 and a volume of 0.5 m^3, the mass is 1,000 × 0.5 = 500 kg.

Other relationships don’t yield mass: density divided by volume would give a quantity with units of mass per volume squared, not mass; volume plus density mixes incompatible units; and mass times gravity gives weight, not mass.

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