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 3 1/8 ft.? Your answer should be a mixed number in simplest form.(1 point)....

Answer 1

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

Volume = height x length x width

Volume = 2 1/2 ft. x 2 1/4 ft. x 3 1/8 ft.

Convert the mixed numbers to improper fractions:
2 1/2 = 5/2
2 1/4 = 9/4
3 1/8 = 25/8

Now multiply the fractions:
Volume = (5/2) x (9/4) x (25/8)
Volume = 1125/64 cubic feet

Convert the improper fraction to a mixed number:
1125 ÷ 64 = 17 17/64

Therefore, the volume of the rectangular prism is 17 17/64 cubic feet.