Answer:
The cost of filling the hot tub is $3.37.
Step-by-step 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
[tex]Volume = 6\times 5\times 3\\Volume = 90\ feet^3.[/tex]
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
= [tex]673.247\times 0.005[/tex]
= [tex]3.37[/tex].
Therefore, the cost of filling the hot tub is $3.37.
