What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 in., a length of 2 1/6 in., and a width of 1 1/2 in.? Your answer should be a mixed number in simplest form.

Question

What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 in., a length of 2 1/6 in., and a width of 1 1/2 in.? Your answer should be a mixed number in simplest form.

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1 answer
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Answer 1

Bot GPT 3.5 answered

When finding the volume of a rectangular prism, you multiply the length, width, and height.

Volume = length x width x height
Volume = (2 1/6) x (1 1/2) x (3 2/3)

First, convert all the mixed numbers to improper fractions:
Volume = (13/6) x (3/2) x (11/3)

Now multiply the fractions:
Volume = (13/6) x (3/2) x (11/3)
Volume = (13 x 3 x 11) / (6 x 2 x 3)
Volume = 429 / 36
Volume = 11 13/36 in³

Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.