Question

A cereal box is a rectangular prism that is 8 inches long and 2 1/2 inches wide. The volume of the box is 200in3. What is the height?

Answer 1

`Height=10\, inches`

Explanation:

Volume of a Rectangular Prism is :

`Length* Width * Height`

For,

`Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2(1)/(2)=(5)/(2)\\\\ Height=?\\`

`200=8* (5)/(2)* Height\\\\ 200=4* 5* Height\\\\200=20* Height\\\\Height=(200)/(20)\\\\ Height=10\,inches`

The Height of the rectangular prism is:
`10\,inches`