Question

the volume of this rectangular prism is 63.00 cubic yards. what is the value of q? 3.5 yd 4.5 yd q q = yards

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, $V = 63$ cubic - yards, $l = 4.5$ yards, $h = 3.5$ yards, and $w = q$. So, $63=4.5\times q\times3.5$.

Step2: Rearrange the formula to solve for $q$

First, calculate $4.5\times3.5 = 15.75$. Then, the equation becomes $63 = 15.75q$. To find $q$, we use the formula $q=\frac{V}{l\times h}$, so $q=\frac{63}{4.5\times3.5}=\frac{63}{15.75}$.

Step3: Perform the division

$q=\frac{63}{15.75}=4$.

Answer:

4