Question

Object A has a mass of 12 g and a density of 3 g/cm Object B has a mass of 12 g and a density of 5 g/cm and Which object has a greater volume

and by how much

Answer 1

Object A has greater volume and it is 1.6 cubic cm greater than Object B

Explanation:

Given data is:

Object A:

Mass = m1 = 12g

Density = d1 = 3g/cm^3

Object B:

Mass = m2 = 12g

Density = d2 = 5g/cm^3

The relationship between mass, volume and density is given by the following formula

`density = (mass)/(volume)`

Let v1 be the volume of object A and v2 be the volume of object B

Now,

Using the given relationship

`d_1 = (m_1)/(v_1)\\v_1 = (m_1)/(d_1)\\v_1 = (12)/(3)\\v_1 = 4\ cm^3\\And\\v_2 = (m_2)/(d_2)\\v_2 = (12)/(5)\\v_2 = 2.4\ cm^3`

Difference between volumes is: 4-2.4 = 1.6

It can clearly be seen that the volume of object A is greater than object B.

Hence,

Object A has greater volume and it is 1.6 cubic cm greater than Object B