Answer:
Object A has greater volume and it is 1.6 cubic cm greater than Object B
Step-by-step 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
[tex]density = \frac{mass}{volume}[/tex]
Let v1 be the volume of object A and v2 be the volume of object B
Now,
Using the given relationship
[tex]d_1 = \frac{m_1}{v_1}\\v_1 = \frac{m_1}{d_1}\\v_1 = \frac{12}{3}\\v_1 = 4\ cm^3\\And\\v_2 = \frac{m_2}{d_2}\\v_2 = \frac{12}{5}\\v_2 = 2.4\ cm^3[/tex]
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
