Answer:
a) The hot tub can hold 90 cubic feet when completely full.
b) the Hot tub ca hold 667.62 gallons.
c) It will cost approximately $3.34 to fill the hot tub with water.
Step-by-step explanation:
Given:
Length of the tub = 6 feet
Width of the tub = 5 feet
Height of the tub = 3 feet.
a) We need to find how many cubic feet can the hot tub hold if it is completely full.
Now we will find the volume of the tub;
Now Volume of the tub is given by length times width times height.
framing in equation form we get;
Volume of the tub = [tex]6\times5\times3 = 90\ ft^3[/tex]
Hence The hot tub can hold 90 cubic feet when completely full.
b) Now we need to find how many gallons can it hold.
Given:
1 cubic foot = 7.418 gallons
90 cubic foot = number of gallons hot tub can hold.
By using Unitary method we get;
number of gallons hot tub can hold = [tex]7.418 \times 90 = 667.62\ gallons.[/tex]
Hence the Hot tub ca hold 667.62 gallons.
c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.
Now Given:
1000 gallons = $5
667.62 gallons = Cost to fill the hot tub with water.
By Using Unitary method we get;
Cost to fill the hot tub with water = [tex]\frac{5\times667.62}{1000} \approx \$3.34[/tex]
Hence It will cost approximately $3.34 to fill the hot tub with water.
