Question

Pia built a rectangular prism with cubes. The base of her prism has 12 cm cubes. If the prism was built with 132 cm cubes, what is the height of her prism?

Answer 1

Answer:The height of the given rectangular prism is 9 cm.

Step-by-step explanation: Since, 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, Hence, the height of the given rectangular prism is 9 cm.

Answer 2

11 cm

Explanation:

Given:

Base of her prism has 12 cm cubes

Prism was built with 132 cm cubes

To find: height of her prism

Solution:

Volume of the prism =
`132\,\,cm^3`

Base of prism = l×b =
`12\,\,cm^2`

Also, volume of the prism = l×b×h = 12 h

where l is the length, b is the breadth and h is the height.

So,

`132=12h\\h=(132)/(12)=11\,\,cm`