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 1/4 full what is the approximate height of the water.

4.43 inches

Step-by-step 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