Question

The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of 15g/cm3. The prism has a mass of 5,625g. The length of the object is 5 cm. The height of the object is 15 cm. What is the width of the object?

Answer 1

Density =mass /volume
Volume =5625/15
=375cm3
5x15xh=375
Height = 5cm

Answer 2

5 cm.

Explanation:

We have been given that a rectangular prism has a density of
`\frac{15\text{ g}}{\text{ cm}^3}`. The prism has a mass of 5,625 g. The length of the object is 5 cm. The height of the object is 15 cm.

We will use density formula to solve our given problem.

`\text{Density}=\frac{\text{Mass}}{\text{Volume}}`

Upon substituting our given values in above formula, we will get:

`15=(5,625)/(15*5*w)`

`15=(5,625)/(75*w)`

`15=(75)/(w)`

`w=(75)/(15)`

`w=5`

Therefore, the width of the object is 5 cm.