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?

Question

asked Jan 6, 2020 229k views

1 Answer

Gaurav Jeswani · Answer 1 · 2020-01-13T07:48:27+0000

Answer:

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