College

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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]32,188.04 \, \text{in}^3[/tex]. If they already have the length measured at 59.3 inches and the width at 59 inches, what is the height needed to reach the desired volume?

A. 9.2 inches
B. 18.4 inches
C. 136.045 inches
D. 272.09 inches

Answer :

Answer: 9.2 inches.

Step-by-step explanation:

Volume is l x w x h

We know that 59.3 x 59 = 3498.7

Then, to find what we need to multiply 3498.7 by, we do 32,188.04 (the desired volume) divided by 3498.7 which gets us 9.2


To check our work, we do 3498.7 x 9.2, which equals 32,188.04

Hope I could help!

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

Step-by-step explanation:

To find the height of the sandbox, we can use the formula for the volume of a rectangular prism: V = l × w × h, where V is the volume, l is the length, w is the width, and h is the height.

We know that the volume of the sandbox is 32,188.04 in³, the length is 59.3 inches, and the width is 59 inches. We can plug in these values and solve for the height:

32,188.04 in³ = 59.3 in × 59 in × h

Dividing both sides by (59.3 * 59) inches gives:

h = 32,188.04 in³ / (59.3 in × 59 in) h ≈ 9.2 inches

Therefore, the height needed to reach the desired volume is approximately 9.2 inches.