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 200 inches cubed. what is the height of the box?

Answer 1

V=L×W×HV=8×1 3/4×12 1/8V=169.75in3

Answer 2

Answer: 10 inches

Explanation:

Given: The volume of a box = 200 cubic inches

The length of the box = 8 inches

The width of the box=
`2(1)/(2)=(5)/(2)` inches

We know that the volume of rectangular prism is given by :-

`\text{Volume}=length*width*height`

Let h be the height of the box.

Then, we have

`200=8*(5)/(2)* h\\\\\Rightarrow\ h=(200)/(4*5)\\\\\Rightarrow\ h=10\ inches`

Hence, the height of the box = 10 inches.