What is the volume, in cubic feet, of a rectangular prism with a length of 2 ft., a width of 4 1/6 ft., and a height of 8 1/2 ft.? Your answer should be a mixed number in simplest form.(1 point) ft^3
The volume of a rectangular prism is calculated by multiplying the length, width, and height together.
Volume = length x width x height
Volume = 2 ft x 4 1/6 ft x 8 1/2 ft
First, convert the mixed numbers to improper fractions:
4 1/6 = (6 x 4 + 1) / 6 = 25 / 6
8 1/2 = (2 x 8 + 1) / 2 = 17 / 2
Now, multiply the fractions:
Volume = 2 ft x 25/6 ft x 17/2 ft
Volume = 50/3 ft^3 x 17/2 ft
Volume = 850/6 ft^3
Volume = 283 1/3 ft^3
So, the volume of the rectangular prism is 283 1/3 cubic feet.