Question

the volume of this rectangular prism is 117.6 cubic yards. what is the value of f? f = yards

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height. Here, $V = 117.6$ cubic - yards, $l = 6$ yards, $w = 2.8$ yards and $h = j$.
So, $117.6=6\times2.8\times j$.

Step2: Simplify the right - hand side

First, calculate $6\times2.8 = 16.8$. The equation becomes $117.6 = 16.8\times j$.

Step3: Solve for $j$

To find $j$, divide both sides of the equation by $16.8$. So, $j=\frac{117.6}{16.8}$.
$j = 7$.

Answer:

7