Question

Every locker at a school has a volume of 10.125 cubic feet. The length and the width are both 1.5 feet as shown below. What is the value of x? (image attached)A. 3.375B. 4.5C. 6.75D. 7.125thank you ! :)

Answer 1

To answer this question we will use the following formula to compute the volume of a rectangular prism:

$Volume=length\times width\operatorname{\times}height.$

Using the given diagram we get:

$10.125ft^3=1.5ft\operatorname{\times}1.5ft\operatorname{\times}xft.$

Simplifying the above result we get:

$10.125ft^3=2.25xft^3.$

Dividing the above result by 2.25 cubic feet we get:

$\begin{gathered} \frac{10.125ft^3}{2.25ft^3}=\frac{2.25xft^3}{2.25ft^3}, \\ 4.5=x. \end{gathered}$

Answer: Option B.