Question

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

Answer 1

SOLUTION

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

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

STEP 3: Calculate for the width of the prism

$\begin{gathered} 480=6\times width\times8 \\ 480=width\times48 \\ width=\frac{480}{48}=10 \\ width=10inches \end{gathered}$

Hence, the width of the prism is 10 inches