Question

You have two objects made of metals that have the same mass. Object one has a density of 8 g/cm³, and object two has a density of 6 g/cm³. What is ( V₁/V₂ ) where ( V ) is the volume of the object? Is ( V ) directly proportional or inversely proportional to density for a given mass?

a) ( V₁/V₂ = 4/3 ); Inversely proportional.

b) ( V₁/V₂ = 3/4 ); Inversely proportional.

c) ( V₁/V₂ = 4/3 ); Directly proportional.

d) ( V₁/V₂ = 3/4 ); Directly proportional.

Answer 1

The ratio of the volumes of two objects with equal masses can be calculated using the formula V₁/V₂ = d₂/d₁, where d₁ and d₂ are their respective densities. The volume is inversely proportional to density for a given mass.

Step-by-step explanation:

The ratio of the volumes of two objects, given their densities and equal masses, can be calculated using the formula V₁/V₂ = d₂/d₁, where V₁ and V₂ are the volumes of the objects, and d₁ and d₂ are their respective densities. In this case, Object one has a density of 8 g/cm³, and object two has a density of 6 g/cm³. So, the ratio of the volumes is V₁/V₂ = 6/8 = 3/4. Therefore, the correct answer is (b) (V₁/V₂ = 3/4); Inversely proportional.