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

The body with 2.7
`(g)/((cm^3))` has a larger volume

Step-by-step explanation:

There is a missespelling in the question. The units of density cannot be g, they usually are
`(g)/((cm^3))`

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

`Density = (Mass)/(Volume) = (M)/(V)`

For body A:

Mass (M) = 5.0 g

Density (D) = 2.7
`(g)/((cm^3))`

2.7
`(g)/((cm^3))` = 5g * 1/V

V1 = 5g / (2.7
`(g)/((cm^3))`)

V1 = 1.85
`1.85 cm^3`

For Body B:

Mass (M) = 5.0 g

Density (D) = 8.4
`(g)/((cm^3))`

8.4
`(g)/((cm^3))` = 5g * 1/V

V2 = 5g / (8.4
`(g)/((cm^3))`)

V2 = 0.59
`1.85 cm^3`

So V1 is bigger than V2