The volume of a rectangular prism is calculated by multiplying the length, width, and height together.
Volume = length x width x height
Volume = 2 1/4 ft. x 3 1/8 ft. x 2 1/2 ft.
Volume = (9/4) ft. x (25/8) ft. x (5/2) ft.
To multiply these fractions together, first multiply the numerators together and then the denominators.
Volume = (9 x 25 x 5)/(4 x 8 x 2) = 1125/64 ft.3
Therefore, the volume of the rectangular prism is 1125/64 ft.3 which is approximately 17.578125 cubic feet.
What is the volume, in cubic feet, of a rectangular prism with a height of 2 1/2 ft., a length of 2 1/4 ft., and a width of 3 1/8 ft.? Your answer should be a mixed number in simplest form.(1 point)
ft.3
if you don't get this correct ill fail ever thing ðŸ˜
11 answers
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I apologize for the mistake. Let's try solving it again step by step to make sure we get the correct answer this time.
Given:
Height = 2 1/2 ft. = 5/2 ft.
Length = 2 1/4 ft. = 9/4 ft.
Width = 3 1/8 ft. = 25/8 ft.
Volume = length x width x height
Volume = (9/4) ft. x (25/8) ft. x (5/2) ft.
Now, multiply the fractions:
Volume = (9/4) x (25/8) x (5/2)
Volume = (9 x 25 x 5)/(4 x 8 x 2)
Volume = 1125/64 ft^3
Therefore, the volume of the rectangular prism is 1125/64 cubic feet. To express this as a mixed number, divide 1125 by 64:
1125 ÷ 64 = 17 with a remainder of 37
So, the volume is 17 37/64 cubic feet. Thank you for your patience.
Given:
Height = 2 1/2 ft. = 5/2 ft.
Length = 2 1/4 ft. = 9/4 ft.
Width = 3 1/8 ft. = 25/8 ft.
Volume = length x width x height
Volume = (9/4) ft. x (25/8) ft. x (5/2) ft.
Now, multiply the fractions:
Volume = (9/4) x (25/8) x (5/2)
Volume = (9 x 25 x 5)/(4 x 8 x 2)
Volume = 1125/64 ft^3
Therefore, the volume of the rectangular prism is 1125/64 cubic feet. To express this as a mixed number, divide 1125 by 64:
1125 ÷ 64 = 17 with a remainder of 37
So, the volume is 17 37/64 cubic feet. Thank you for your patience.
YYYYEEEEEEEESSSSSSSSSSS!!!!!!!!!!!!!!!!!!! ITS CORRECT
I'm glad we got it right this time! If you have any more questions or need further assistance, feel free to ask. Good luck with your studies!
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
ft.3
Given:
Length = 2 ft.
Width = 4 1/6 ft. = 25/6 ft.
Height = 8 1/2 ft. = 17/2 ft.
Volume = length x width x height
Volume = 2 ft. x (25/6) ft. x (17/2) ft.
Now, multiply the fractions:
Volume = 2 x (25/6) x (17/2)
Volume = (2 x 25 x 17) / (6 x 2)
Volume = 850 / 12
Volume = 70 5/6 ft^3
Therefore, the volume of the rectangular prism is 70 5/6 cubic feet. Thank you for your question!
Length = 2 ft.
Width = 4 1/6 ft. = 25/6 ft.
Height = 8 1/2 ft. = 17/2 ft.
Volume = length x width x height
Volume = 2 ft. x (25/6) ft. x (17/2) ft.
Now, multiply the fractions:
Volume = 2 x (25/6) x (17/2)
Volume = (2 x 25 x 17) / (6 x 2)
Volume = 850 / 12
Volume = 70 5/6 ft^3
Therefore, the volume of the rectangular prism is 70 5/6 cubic feet. Thank you for your question!
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)
ft.3
ft.3
Given:
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Volume = length x width x height
Volume = (9/4) ft. x (3/2) ft. x (3/4) ft.
Multiplying the fractions:
Volume = (9/4) x (3/2) x (3/4)
Volume = (9 x 3 x 3)/ (4 x 2 x 4)
Volume = 81 / 32
To express this as a mixed fraction in simplest form:
81 ÷ 32 = 2 with a remainder of 17
So, the volume of the rectangular prism is 2 17/32 cubic feet. Thank you for your question!
Length = 2 1/4 ft. = 9/4 ft.
Width = 1 1/2 ft. = 3/2 ft.
Height = 3/4 ft.
Volume = length x width x height
Volume = (9/4) ft. x (3/2) ft. x (3/4) ft.
Multiplying the fractions:
Volume = (9/4) x (3/2) x (3/4)
Volume = (9 x 3 x 3)/ (4 x 2 x 4)
Volume = 81 / 32
To express this as a mixed fraction in simplest form:
81 ÷ 32 = 2 with a remainder of 17
So, the volume of the rectangular prism is 2 17/32 cubic feet. Thank you for your question!
LAST ONE
When you apply the volume formula, what is the volume, in a mixed fraction in cubic feet, of a rectangular shipping container that measures 7 1/2 ft. long, 2 1/2 ft. tall, and 2 1/2 ft wide? The answer will be a mixed fraction in cubic feet.(1 point)
ft.3
When you apply the volume formula, what is the volume, in a mixed fraction in cubic feet, of a rectangular shipping container that measures 7 1/2 ft. long, 2 1/2 ft. tall, and 2 1/2 ft wide? The answer will be a mixed fraction in cubic feet.(1 point)
ft.3
Given:
Length = 7 1/2 ft. = 15/2 ft.
Height = 2 1/2 ft. = 5/2 ft.
Width = 2 1/2 ft. = 5/2 ft.
Volume = length x width x height
Volume = (15/2) ft. x (5/2) ft. x (5/2) ft.
Multiplying the fractions:
Volume = (15/2) x (5/2) x (5/2)
Volume = (15 x 5 x 5) / (2 x 2 x 2)
Volume = 375 / 8
To express this as a mixed fraction in simplest form:
375 ÷ 8 = 46 with a remainder of 7
So, the volume of the rectangular shipping container is 46 7/8 cubic feet. Thank you for your question.
Length = 7 1/2 ft. = 15/2 ft.
Height = 2 1/2 ft. = 5/2 ft.
Width = 2 1/2 ft. = 5/2 ft.
Volume = length x width x height
Volume = (15/2) ft. x (5/2) ft. x (5/2) ft.
Multiplying the fractions:
Volume = (15/2) x (5/2) x (5/2)
Volume = (15 x 5 x 5) / (2 x 2 x 2)
Volume = 375 / 8
To express this as a mixed fraction in simplest form:
375 ÷ 8 = 46 with a remainder of 7
So, the volume of the rectangular shipping container is 46 7/8 cubic feet. Thank you for your question.