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

The cost of filling the hot tub is $3.37.

Explanation:

Given:

You are putting a rectangular hot tub on your back porch.

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

If water costs $5 per 1000 gallons.

Now, to find the cost to fill the hot tub.

So, to find the volume of tub first.

Length = 6 feet.

Width = 5 feet.

Height = 3 feet.

Now, we put formula to get its volume:

Volume = length × width × height

`Volume = 6* 5* 3\\Volume = 90\ feet^3.`

As given $5 per 1000 gallons so we get the unit rate by using unitary method:

1000 gallons of water costs $5.

1 gallon of water costs $5 ÷ 1000 = $0.005.

Now, we convert the volume of tub into gallon.

1 feet³ = 7.48052.

So, multiplying 90 feet³ by 7.48052 we get:

90 feet³ = 673.247 gallons.

Thus, the volume of tub = 673.247 gallons.

So, 1 gallon of water cost $0.005.

Thus, 673.247 gallon of water costs

=
`673.247* 0.005`

=
`3.37`.

Therefore, the cost of filling the hot tub is $3.37.