Question

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost to fill the hot tub if water costs $5 per 1000 gallons?

Answer 1

It costs $ 3.4 to fill the hot tub

Solution:

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

The volume of cuboid is given as:

`\text{Volume of cuboid } = length * width * height`

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

Thus volume of rectangular hot tub is:

`volume = 6 * 5 * 3 = 90`

Thus volume of rectangular tub is
`90 ft^3`

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

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

Find for 673.247 gallons

673.247 gallons =
`(5)/(1000) * 673.247 = 3.366235 \approx 3.4`

Thus it costs $ 3.4 to fill the hot tub