Which statement correctly expresses the relationship between mass, density, and volume?

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Multiple Choice

Which statement correctly expresses the relationship between mass, density, and volume?

Explanation:
The relationship being tested is how density, volume, and mass connect: density is mass per unit volume, so mass can be found by multiplying density by volume. Mathematically, ρ = m/V leads to m = ρV. This means if you know how dense a material is and how much space it takes up, you can determine its mass by multiplying those two values. For example, if a material has a density of 2 g/cm^3 and it occupies 3 cm^3, its mass is 2 × 3 = 6 g. Doubling the volume (with the same density) doubles the mass, illustrating the direct relationship. The other statements don’t fit because they mix or rearrange the quantities in incompatible ways: using time and velocity describes motion, not mass; dividing density by volume would give a quantity with wrong units (mass per volume squared); and adding gravity to volume doesn’t reflect how mass is defined.

The relationship being tested is how density, volume, and mass connect: density is mass per unit volume, so mass can be found by multiplying density by volume. Mathematically, ρ = m/V leads to m = ρV. This means if you know how dense a material is and how much space it takes up, you can determine its mass by multiplying those two values.

For example, if a material has a density of 2 g/cm^3 and it occupies 3 cm^3, its mass is 2 × 3 = 6 g. Doubling the volume (with the same density) doubles the mass, illustrating the direct relationship.

The other statements don’t fit because they mix or rearrange the quantities in incompatible ways: using time and velocity describes motion, not mass; dividing density by volume would give a quantity with wrong units (mass per volume squared); and adding gravity to volume doesn’t reflect how mass is defined.

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