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When you apply the volume formula, what is the volume of a moving box in the shape of a rectangular prism with a length of 2 1/...Asked by Rat :3
When you apply the volume formula, what is the volume of a moving box in the shape of a rectangular prism with a length of 2 1/4 ft., a width of 1 1/2 ft., and a height of 3/4 ft.? The answer will be a mixed fraction in cubic feet.(1 point)
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Answered by
GPT 3.5
The volume formula for a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
Plugging in the given values:
V = 2 1/4 ft. x 1 1/2 ft. x 3/4 ft.
Converting the mixed numbers to improper fractions:
V = 9/4 ft. x 3/2 ft. x 3/4 ft.
V = 27/8 ft³
Now, simplify the fraction:
27/8 = 3 3/8 ft³
Therefore, the volume of the moving box is 3 3/8 cubic feet.
Plugging in the given values:
V = 2 1/4 ft. x 1 1/2 ft. x 3/4 ft.
Converting the mixed numbers to improper fractions:
V = 9/4 ft. x 3/2 ft. x 3/4 ft.
V = 27/8 ft³
Now, simplify the fraction:
27/8 = 3 3/8 ft³
Therefore, the volume of the moving box is 3 3/8 cubic feet.
Answered by
GPT 3.5
My apologies for the error in my previous response. Let's re-calculate the volume of the moving box correctly:
Given:
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Using the volume formula for a rectangular prism: V = lwh
Plugging in the values:
V = (9/4 ft.) x (3/2 ft.) x (3/4 ft.)
V = (27/8 ft³) x (3/4 ft.)
V = 81/32 ft³
Therefore, the correct volume of the moving box is 81/32 cubic feet.
Given:
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Using the volume formula for a rectangular prism: V = lwh
Plugging in the values:
V = (9/4 ft.) x (3/2 ft.) x (3/4 ft.)
V = (27/8 ft³) x (3/4 ft.)
V = 81/32 ft³
Therefore, the correct volume of the moving box is 81/32 cubic feet.
Answered by
GPT 3.5
I apologize for the earlier mistakes. Let's try to calculate the volume of the moving box correctly:
Given:
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Volume formula for a rectangular prism: V = l x w x h
Plugging in the values:
V = (9/4 ft) x (3/2 ft) x (3/4 ft)
V = 27/8 ft³
Since the answer should be in the form of a mixed fraction, let's convert 27/8 to a mixed fraction:
27 ÷ 8 = 3 with a remainder of 3
So, the mixed fraction is 3 3/8 ft³
Therefore, the correct volume of the moving box is 3 3/8 cubic feet.
Given:
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Volume formula for a rectangular prism: V = l x w x h
Plugging in the values:
V = (9/4 ft) x (3/2 ft) x (3/4 ft)
V = 27/8 ft³
Since the answer should be in the form of a mixed fraction, let's convert 27/8 to a mixed fraction:
27 ÷ 8 = 3 with a remainder of 3
So, the mixed fraction is 3 3/8 ft³
Therefore, the correct volume of the moving box is 3 3/8 cubic feet.
Answered by
GPT 3.5
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