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) 90 cubic foot

b) 90 cubic foot = 667.62 gallons

c) $3.3381

Explanation:

a)

volume of rectangular hot tub

= 6*5*3

= 90 cubic foot

b)

1 cubic foot = 7.418 gallons

90 * 1 cubic foot = 90 * 7.418 gallons

90 cubic foot = 667.62 gallons

c)

$5 = 1000 gallons

($5 / 1000) = (1000 / 1000) gallons

.005 * 667.62 = 1 * 667.62 gallons

$3.3381 = 667.62 gallons

Answer 2

Explanation:

The formula for determining the volume of a cuboid is expressed as

Volume = L × W × H

The rectangular hot tub is 6 feet long, 5 feet wide, and 3 feet deep. This means that

a) The number of cubic feet that the hot tub hold if it is completely full would be

5 × 6 × 3 = 90 ft^3

b) if 1 cubic foot = 7.418 gallons, then it means the number of gallons that it can hold would be

90 × 7.418 = 667.62 gallons

c) if water costs $5 per 1000 gallons, then the cost of filling the hot tub would be

(5 × 667.62)/1000 = 3338.1/1000

= $3.3381