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
Volume = length x width x height
Volume = 2 ft. x 4 1/6 ft. x 8 1/2 ft.
Volume = 2 ft. x 25/6 ft. x 17/2 ft.
Volume = 50/6 ft. x 17/2 ft.
Volume = 850/12 ft.
Volume = 70 5/12 ft.
Therefore, the volume of the rectangular prism is 70 5/12 cubic feet.
check
My apologies for the mistake in my previous calculation. Let's correct it:
Volume = length x width x height
Convert the mixed numbers to improper fractions:
2 ft. = 2 ft.
4 1/6 ft. = 25/6 ft.
8 1/2 ft. = 17/2 ft.
Volume = 2 ft. x 25/6 ft. x 17/2 ft.
Volume = 2 x 25/6 x 17/2
Volume = 850/6
Volume = 141 2/3 cubic feet
Therefore, the volume of the rectangular prism is 141 2/3 cubic feet.