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A family is building a sandbox for their yard that is shaped like a rectangular prism. They would like for the box to have a volume of [tex]30,875.88 \, \text{in}^3[/tex]. If they already have the length measured at 62.3 inches and the width at 59 inches, what is the height needed to reach the desired volume?

A. 242.6 inches
B. 121.3 inches
C. 16.8 inches
D. 8.4 inches

Answer :

The height needed to reach the desired volume of 30,875.88 in³ is approximately 8.4 inches.

To find the height needed to reach the desired volume of 30,875.88 in³, we can use the formula for the volume of a rectangular prism: Volume = Length × Width × Height.

Given that the length is 62.3 inches and the width is 59 inches, we can substitute these values into the formula:

30,875.88 = 62.3 × 59 × Height

To solve for the height, we divide both sides of the equation by (62.3 × 59):

Height = 30,875.88 / (62.3 × 59)

Height ≈ 8.4 inches

Therefore, the height needed to reach the desired volume is approximately 8.4 inches.

Learn more about Height from the given link :

https://brainly.com/question/73194

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