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)

Question

ft^3

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

To simplify the calculation, convert all mixed numbers to improper fractions:
2 1/2 = 5/2
2 1/4 = 9/4
3 1/8 = 25/8

Now multiply:
Volume = 5/2 x 9/4 x 25/8
Volume = (5 * 9 * 25) / (2 * 4 * 8)
Volume = 1125 / 64 ft^3

To express the result as a mixed number in simplest form, divide 1125 by 64:
1125 ÷ 64 ≈ 17 with a remainder of 37

So, the volume of the rectangular prism is approximately 17 37/64 ft^3.