Question

two objects each have a mass of 5.0 g. one had a density of 2.7 g. and the other has a density of 8.4 g. which object has a larger volume?​

Answer 1

Answer:

The body with 2.7 $\frac{g}{(cm^3)}$ has a larger volume

Explanation:

There is a missespelling in the question. The units of density cannot be g, they usually are $\frac{g}{(cm^3)}$

In order to answer this question, we need to use the formula of the density of a body:

$Density = \frac{Mass}{Volume} = \frac{M}{V}$

For body A:

Mass (M) = 5.0 g

Density (D) = 2.7 $\frac{g}{(cm^3)}$

2.7 $\frac{g}{(cm^3)}$ = 5g * 1/V

V1 = 5g / (2.7 $\frac{g}{(cm^3)}$)

V1 = 1.85 $1.85 cm^3$

For Body B:

Mass (M) = 5.0 g

Density (D) = 8.4 $\frac{g}{(cm^3)}$

8.4 $\frac{g}{(cm^3)}$ = 5g * 1/V

V2 = 5g / (8.4 $\frac{g}{(cm^3)}$)

V2 = 0.59 $1.85 cm^3$

So V1 is bigger than V2