What is the volume, in cubic feet, of a rectangular prism with a height of 2 1/2 ft., a length of 2 1/4 ft., and a width of 31/8 ft.? Your answer should be a mixed number in simplest form.(1 point)

Question

ft.3

Answer 1

The volume of a rectangular prism is found by multiplying the length, width, and height together.

Volume = Length x Width x Height
Volume = 2 1/4 ft x 3 1/8 ft x 2 1/2 ft
Volume = 9/4 ft x 25/8 ft x 5/2 ft
Volume = 225/32 ft3

To simplify the fraction, we can find that 225 is divisible by 9:
225 ÷ 9 = 25

Therefore, the simplified mixed number in simplest form is 25 7/8 ft3.