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 length, width, and height.

Volume = length x width x height
Volume = 2 1/4 ft x 3 1/8 ft x 2 1/2 ft

First, convert all mixed numbers to improper fractions:
Volume = 9/4 ft x 25/8 ft x 5/2 ft

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

Finally, simplify the fraction:
Volume = 17 37/64 cubic feet

Therefore, the volume of the rectangular prism is 17 37/64 cubic feet.