Area and Volume Unit Test

Question

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Question
What is the volume of a rectangular prism with a length of 4 2/3 ft., a height of 3 1/3 ft., and a width of 2 1/2 ft.?(1 point)
ft.3

Answer 1

To find the volume of a rectangular prism, you multiply the length, width, and height.

Volume = length x width x height
Volume = (4 2/3) ft. x (3 1/3) ft. x (2 1/2) ft.

First, convert all mixed numbers to improper fractions:
4 2/3 = 14/3 ft.
3 1/3 = 10/3 ft.
2 1/2 = 5/2 ft.

Volume = (14/3) ft. x (10/3) ft. x (5/2) ft.
Volume = (140/9) ft. x (5/2) ft.
Volume = 700/18 ft^3
Volume = 38 8/9 ft^3

So, the volume of the rectangular prism is 38 8/9 ft^3.