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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 ! :)

Every locker at a school has a volume of 10.125 cubic feet. The length and the width-example-1
User Adi Sarid
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1 Answer

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


Volume=length* width\operatorname{*}height.

Using the given diagram we get:


10.125ft^3=1.5ft\operatorname{*}1.5ft\operatorname{*}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} (10.125ft^3)/(2.25ft^3)=(2.25xft^3)/(2.25ft^3), \\ 4.5=x. \end{gathered}

Answer: Option B.

User Tkay
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