Question

the volume of this rectangular prism is 137.25 cubic feet. what is the value of a? 6.1 ft 2.5 ft a a = feet

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, $V = 137.25$ cubic - feet, $l=a$, $w = 2.5$ ft, and $h = 6.1$ ft. So, $V=a\times2.5\times6.1$.

Step2: Solve for a

We can rewrite the equation as $a=\frac{V}{2.5\times6.1}$. Substitute $V = 137.25$ into the equation: $a=\frac{137.25}{2.5\times6.1}$. First, calculate $2.5\times6.1 = 15.25$. Then, $a=\frac{137.25}{15.25}=9$.

Answer:

9