Question

Object A has a density of 10 g/cm3 and a mass of 9 g. Object B has a density of 10 g/cm3 and a mass of 4 g. Which object has a greater volume and by how much? Object A, by 5 cubic centimeters Object A, by 0.5 cubic centimeter Object B, by 5 cubic centimeters Object B, by 0.5 cubic centimeter

Answer 1

The Volume can be determined by the formula
$V = \frac{mass}{density}$
So,
V1 = 9/10 = 0.9 cm^3
V2 = 4/10 = 0.4 cm^3
V1 - V2 = 0.5 cm^3
THe answer will be "Object A, by 0.5 cubic centimeter."

Answer 2

Answer:

Object A, by 0.5 cubic centimeter      

Explanation:

Density (d) is given by :

$d=\dfrac{m}{V}$

m is the mass of an object

V is its volume

For object A:

$V_1=\dfrac{m_1}{d_1}$

$V_1=\dfrac{9\ g}{10\ g/cm^3}=0.9\ cm^3$...........(1)

For object B:

$V_2=\dfrac{m_2}{d_2}$

$V_2=\dfrac{4\ g}{10\ g/cm^3}=0.4\ cm^3$...........(2)

From equation (1) and (2) it is clear that volume of object A is greater by 0.5 cm³. So, the correct option is (b) "Object A, by 0.5 cubic centimeter".