156k views
1 vote
Select all the possible dimensions of the swimming pool with a volume of 1800 cubic feet when filled to a depth of 12 feet.

a. 15 feet x 10 feet
b. 30 feet x 5 feet
c. 12 feet x 12 feet
d. 40 feet x 3 feet
e. 50 feet x 3 feet
f. 30 feet x 4 feet

1 Answer

4 votes

Final answer:

The possible dimensions for a swimming pool with a volume of 1800 cubic feet and a depth of 12 feet are 15 feet x 10 feet, 30 feet x 5 feet, and 50 feet x 3 feet.

Step-by-step explanation:

The student is asked to select all possible dimensions of a swimming pool with a volume of 1800 cubic feet when filled to a depth of 12 feet. We can calculate the surface area required for the desired volume by dividing the volume by the depth:

Surface Area = Volume / Depth = 1800 cubic feet / 12 feet = 150 square feet

Now we will check the given dimensions to see which ones give us a surface area of 150 square feet:

  • a. 15 feet x 10 feet = 150 square feet
  • b. 30 feet x 5 feet = 150 square feet
  • c. 12 feet x 12 feet = 144 square feet (not a match)
  • d. 40 feet x 3 feet = 120 square feet (not a match)
  • e. 50 feet x 3 feet = 150 square feet
  • f. 30 feet x 4 feet = 120 square feet (not a match)

Therefore, the possible dimensions that meet the criteria for a volume of 1800 cubic feet and a depth of 12 feet are:

  • a. 15 feet x 10 feet
  • b. 30 feet x 5 feet
  • e. 50 feet x 3 feet

User Garpitmzn
by
8.6k points

No related questions found