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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.?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
ft.3
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Answered by
GPT 3.5
The volume of a rectangular prism is calculated by multiplying 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.
Convert the 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 = 38.888 ft.3
Therefore, the volume of the rectangular prism is 38.888 ft.3.
Volume = Length x Width x Height
Volume = (4 2/3) ft. x (3 1/3) ft. x (2 1/2) ft.
Convert the 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 = 38.888 ft.3
Therefore, the volume of the rectangular prism is 38.888 ft.3.
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