Question

HELP ASAP PLS

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 32,188.04 in3. 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?

9.2 inches
18.4 inches
136.045 inches
272.09 inches

Answer 1

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.

Answer 2

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!