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

Answer:

$Height=10\, inches$

Step-by-step explanation:

Volume of a Rectangular Prism is :

             $Length\times Width \times Height$

For,

$Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2\dfrac{1}{2}=\dfrac{5}{2}\\\\ Height=?$

$200=8\times \dfrac{5}{2}\times Height\\\\ 200=4\times 5\times Height\\\\200=20\times Height\\\\Height=\dfrac{200}{20}\\\\ Height=10\,inches$

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