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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 10125 Cubic Feet The Length And The Width Are Both 15 Feet As Shown Below What Is The Value Of X Image AttachedA 3375B class=

Sagot :

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

[tex]Volume=length\times width\operatorname{\times}height.[/tex]

Using the given diagram we get:

[tex]10.125ft^3=1.5ft\operatorname{\times}1.5ft\operatorname{\times}xft.[/tex]

Simplifying the above result we get:

[tex]10.125ft^3=2.25xft^3.[/tex]

Dividing the above result by 2.25 cubic feet we get:

[tex]\begin{gathered} \frac{10.125ft^3}{2.25ft^3}=\frac{2.25xft^3}{2.25ft^3}, \\ 4.5=x. \end{gathered}[/tex]

Answer: Option B.