Question

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. a) How many cubic feet can the hot tub hold if it is completely full? b) How many gallons can it hold? (1 cubic foot = 7.418 gallons) c) How much will it cost to fill the hot tub if water costs $5 per 1000 gallons?

Answer 1

a) The hot tub can hold 90 cubic feet when completely full.

b) the Hot tub ca hold 667.62 gallons.

c) It will cost approximately $3.34 to fill the hot tub with water.

Explanation:

Given:

Length of the tub = 6 feet

Width of the tub = 5 feet

Height of the tub = 3 feet.

a) We need to find how many cubic feet can the hot tub hold if it is completely full.

Now we will find the volume of the tub;

Now Volume of the tub is given by length times width times height.

framing in equation form we get;

Volume of the tub =
`6*5*3 = 90\ ft^3`

Hence The hot tub can hold 90 cubic feet when completely full.

b) Now we need to find how many gallons can it hold.

Given:

1 cubic foot = 7.418 gallons

90 cubic foot = number of gallons hot tub can hold.

By using Unitary method we get;

number of gallons hot tub can hold =
`7.418 * 90 = 667.62\ gallons.`

Hence the Hot tub ca hold 667.62 gallons.

c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.

Now Given:

1000 gallons = $5

667.62 gallons = Cost to fill the hot tub with water.

By Using Unitary method we get;

Cost to fill the hot tub with water =
`(5*667.62)/(1000) \approx \$3.34`

Hence It will cost approximately $3.34 to fill the hot tub with water.