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