79.3k views
5 votes
Please, someone, help with this question. This is my last question.

You are filling your rectangular hot tub with water. The base is 76 inches by 60 inches. The hot tub holds 350 gallons of water. If the hot tub is one-fourth full, what is the approximate height of the water?

User Dianne
by
5.3k points

1 Answer

2 votes

Answer:

4.43 inches

Explanation:

The volume of the hot tub is

V = l*w*h

We are given the volume in gallons which we need to convert to cubic inches

1 gallon = 231 in^3

350 gallons *231 in ^3/1 gallon = 80850 in ^3

Substituting in what we know, we can find the height of the tub

80850 = 76*60 *h

17.76026316 is the height of the tub

If the tub is 1/4 full

We take 1/4 of the height

1/4 * 17.76 = 4.432565789

The approximate height of the water is 4.43 inches

User Ricket
by
5.3k points