Question

Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 108 centimeter cubes, what is the height of her prism?

Answer 1

9 cm is the height of the rectangular prism.

Just divide the total amount of cubes with the base number.
108 / 12 = 9

Answer 2

The height of the given rectangular prism is 9 cm.

Explanation:

Since,

`\text{The volume of a Rectangular prism}=\text{Base area}* \text{Height}`

Given,

The base area = 12 cm²,

Also, the volume of the prism = 108 cm³,

Let h be the height of the prism,

By substituting the values in the above formula,

`108=12* h`

`\implies h = (108)/(12)=9`

Hence, the height of the given rectangular prism is 9 cm.