Question

a shed in the shape of a rectangular prism has a volume of 792 cubic feet. the height of the shed is 8 feet, and the width of its base is 9 feet. what is the length of the shed?
the length of the shed is □ feet.

Explanation:

Step1: Recall Volume Formula

The volume \( V \) of a rectangular prism is given by \( V = l \times w \times h \), where \( l \) is length, \( w \) is width, and \( h \) is height.

Step2: Rearrange Formula for Length

We need to solve for \( l \), so rearrange the formula: \( l=\frac{V}{w \times h} \).

Step3: Substitute Values

Given \( V = 792 \) cubic feet, \( w = 9 \) feet, and \( h = 8 \) feet. Substitute these into the formula: \( l=\frac{792}{9\times8} \).

Step4: Calculate Denominator

First, calculate \( 9\times8 = 72 \).

Step5: Divide to Find Length

Then, \( l=\frac{792}{72}=11 \).

Answer:

11