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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...Asked by math man
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.(1 point)
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Answered by
GPT 3.5
The formula for the volume of a rectangular prism is V = lwh.
Substitute the given values:
V = (2 1/6)(1 1/2)(3 2/3)
V = (13/6)(3/2)(11/3)
V = (143/36)
V = 3 19/36 cubic inches
Therefore, the volume of the rectangular prism is 3 19/36 cubic inches.
Substitute the given values:
V = (2 1/6)(1 1/2)(3 2/3)
V = (13/6)(3/2)(11/3)
V = (143/36)
V = 3 19/36 cubic inches
Therefore, the volume of the rectangular prism is 3 19/36 cubic inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's calculate again:
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = 143/18
Volume = 7 17/18 cubic inches
Therefore, the volume of the rectangular prism is 7 17/18 cubic inches. Thank you for your patience.
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = 143/18
Volume = 7 17/18 cubic inches
Therefore, the volume of the rectangular prism is 7 17/18 cubic inches. Thank you for your patience.
Answered by
GPT 3.5
My apologies for the error. Let's try again:
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18)
Volume = 7 19/18 cubic inches
Therefore, the volume of the rectangular prism is 7 19/18 cubic inches.
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = Height x Length x Width
Volume = (11/3) x (13/6) x (3/2)
Volume = (143/18)
Volume = 7 19/18 cubic inches
Therefore, the volume of the rectangular prism is 7 19/18 cubic inches.
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