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)
To find the volume of the pool, we need to multiply 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
Convert all mixed numbers to improper fractions:
16 1/2 = 33/2
8 1/4 = 33/4
3 1/2 = 7/2
Volume = 33/2 ft x 33/4 ft x 7/2 ft
Volume = (33 x 33 x 7) / (2 x 4 x 2)
Volume = 33, 33, 7 / 16
Volume = 3707 / 16
Now, simplify the fraction:
3707 ÷ 16 = 231 R 11
Therefore, the pool can hold 231 11/16 ft³ of water.