Question

the volume of this rectangular prism is 108 cubic feet.

image of a rectangular prism with height 4.5 feet, width 3 feet, and length labeled as l

what is the length of the prism?

blank box 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: Substitute Known Values

We know \( V = 108 \) cubic feet, \( w = 3 \) feet, \( h = 4.5 \) feet. Substitute into the formula: \( 108 = l \times 3 \times 4.5 \).

Step3: Simplify and Solve for \( l \)

First, calculate \( 3 \times 4.5 = 13.5 \). So the equation becomes \( 108 = l \times 13.5 \). Then, solve for \( l \) by dividing both sides by \( 13.5 \): \( l = \frac{108}{13.5} = 8 \).

Answer:

8