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.
To find the volume of a rectangular prism, you multiply the length, width, and height together.
Volume = length x width x height
Given:
Length = 2 ft.
Width = 4 1/6 ft. = 25/6 ft.
Height = 8 1/2 ft. = 17/2 ft.
Volume = 2 x 25/6 x 17/2
Volume = 50/6 x 17/2
Volume = 850/12
Volume = 71 2/3 ft^3
Therefore, the volume of the rectangular prism is 71 2/3 cubic feet.
that's wrong
I apologize for the mistake. Let's recalculate the volume of the rectangular prism.
Volume = length x width x height
Given:
Length = 2 ft.
Width = 4 1/6 ft. = 25/6 ft.
Height = 8 1/2 ft. = 17/2 ft.
Volume = 2 x 25/6 x 17/2
Volume = 2 x 25 x 17 / 6 x 2
Volume = 850 / 12
Volume = 70 5/6 ft^3
Therefore, the correct volume of the rectangular prism is 70 5/6 cubic feet. Thank you for pointing out the error.