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:
[tex]\text{Volume of cuboid } = length \times width \times height[/tex]
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:
[tex]volume = 6 \times 5 \times 3 = 90[/tex]
Thus volume of rectangular tub is [tex]90 ft^3[/tex]
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 = $ [tex]\frac{5}{1000}[/tex]
Find for 673.247 gallons
673.247 gallons = [tex]\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4[/tex]
Thus it costs $ 3.4 to fill the hot tub
