Question

The volume of the prism below is 480 cubic inches.Find the width of the prism.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given dimensions

`length=6in,width=xin,height=8in`

STEP 2: Write the formula for calculating the volume of the prism

`\begin{gathered} Volume=Area\text{ of sectional face}* height \\ Volume=length* width* height \\ Volume=480in^3 \end{gathered}`

STEP 3: Calculate for the width of the prism

`\begin{gathered} 480=6* width*8 \\ 480=width*48 \\ width=(480)/(48)=10 \\ width=10inches \end{gathered}`

Hence, the width of the prism is 10 inches