Saya has a swimming pool in the shape of a rectangle. It is 16 1/2 ft. long, 8 1/
4 ft. wide, and 3 1/2 ft. deep. How much water can the pool hold? Your answer should be a mixed number in simplest form.(1 point)
ft.3
The volume of a rectangular pool is calculated by multiplying the length, width, and depth.
Volume = length x width x depth
Volume = 16 1/2 ft x 8 1/4 ft x 3 1/2 ft
First, convert all fractions to the same denominator.
16 1/2 ft = 33/2 ft
8 1/4 ft = 33/4 ft
3 1/2 ft = 7/2 ft
Now, calculate the volume:
Volume = (33/2) ft x (33/4) ft x (7/2) ft
Volume = (33 x 33 x 7) / (2 x 4 x 2) ft^3
Volume = 7511 / 16 ft^3
So, the pool can hold 7511/16 ft^3 of water. Simplifying this as a mixed number:
7511 ÷ 16 = 469 remainder 7
Therefore, the pool can hold 469 7/16 ft^3 of water.