Object A has a mass of 12 g and a density of 3 g/cm3. Object B has a mass of 12 g and a density of 5 g/cm3. Which object has a greater volume and by how much?

A. Object A, by 2 6 cubic centimeters

B. Object A, by 1.6 cubic centimeters

C. Object B, by 2 6 cubic centimeters

D. Object B, by 1.6 cubic centimeters

The correct option is B

Explanation:

The formula for density is

Density = mass : volume

hence,

volume = mass : density

Using the formula above, Object A with a mass of 12 g and density of 3 g/cm³ will have the volume:

volume = 12 : 3

volume of Object A = 4 cm³

Using the same formula, Object B with a mass of 12 g and a density of 5 g/cm³ will have the volume:

volume = 12 : 5

volume = 2.4 cm³

From the above, it can be deduced that Object A has a greater volume with 1.6 (4 - 2.4) cubic centimeter difference.

Volume = mass/density, Va=12/3=4g/cm**3, Vb=12/5=2.5 cm**3

A has more volume by 4-2.5=1.5 cm**3