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.
The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Plugging in the given values:
V = 2 ft. x 4 1/6 ft. x 8 1/2 ft.
V = 17/3 ft. x 25/6 ft. x 17/2 ft.
V = (17 x 25 x 17)/(3 x 6 x 2) ft.
V = 7225/18 cubic feet
Now we simplify the fraction:
7225 รท 18 = 401 remainder 7
So, the volume of the rectangular prism is 401 7/18 cubic feet.