The volume of a rectangular prism is calculated by multiplying the length, width, and height.
V = l x w x h
V = 216 in. x 112 in. x 323 in.
V = 7753152 in.³
Therefore, the volume of the rectangular prism is 7,753,152 cubic inches.
What is the volume, in cubic inches, of a rectangular prism with a height of 323 in., a length of 216 in., and a width of 112 in.? Your answer should be a mixed number in simplest form.(1 point) in.3
11 answers
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) in.3
To find the volume of the rectangular prism with dimensions given in mixed numbers, we need to first convert the mixed numbers to improper fractions.
Height: 3 2/3 = 11/3 in
Length: 2 1/6 = 13/6 in
Width: 1 1/2 = 3/2 in
Now, calculate the volume:
V = (13/6) * (3/2) * (11/3)
V = 13 * 3 * 11 / (6 * 2 * 3)
V = 429 / 36
V = 11 13/36
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
Height: 3 2/3 = 11/3 in
Length: 2 1/6 = 13/6 in
Width: 1 1/2 = 3/2 in
Now, calculate the volume:
V = (13/6) * (3/2) * (11/3)
V = 13 * 3 * 11 / (6 * 2 * 3)
V = 429 / 36
V = 11 13/36
Therefore, the volume of the rectangular prism is 11 13/36 cubic inches.
its wrong
I apologize for the mistake. Let's recalculate the volume of the rectangular prism.
Height: 3 2/3 = 11/3 in
Length: 2 1/6 = 13/6 in
Width: 1 1/2 = 3/2 in
Now, calculate the volume:
V = (13/6) * (3/2) * (11/3)
V = 13 * 3 * 11 / (6 * 2 * 3)
V = 429 / 36
V = 143/12
Therefore, the volume of the rectangular prism is 143/12 cubic inches, which simplifies to 11 11/12 cubic inches.
Height: 3 2/3 = 11/3 in
Length: 2 1/6 = 13/6 in
Width: 1 1/2 = 3/2 in
Now, calculate the volume:
V = (13/6) * (3/2) * (11/3)
V = 13 * 3 * 11 / (6 * 2 * 3)
V = 429 / 36
V = 143/12
Therefore, the volume of the rectangular prism is 143/12 cubic inches, which simplifies to 11 11/12 cubic inches.
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
To find the volume of the rectangular prism with dimensions given in mixed numbers, we need to first convert the mixed numbers to improper fractions.
Height: 2 1/2 = 5/2 ft.
Length: 2 1/4 = 9/4 ft.
Width: 3 1/8 = 25/8 ft.
Now, calculate the volume:
V = (9/4) * (25/8) * (5/2)
V = 9 * 25 * 5 / (4 * 8 * 2)
V = 1125 / 64
Therefore, the volume of the rectangular prism is 1125/64 cubic feet. This can be simplified to 17 37/64 cubic feet.
Height: 2 1/2 = 5/2 ft.
Length: 2 1/4 = 9/4 ft.
Width: 3 1/8 = 25/8 ft.
Now, calculate the volume:
V = (9/4) * (25/8) * (5/2)
V = 9 * 25 * 5 / (4 * 8 * 2)
V = 1125 / 64
Therefore, the volume of the rectangular prism is 1125/64 cubic feet. This can be simplified to 17 37/64 cubic feet.
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
To find the volume of the rectangular prism with the given dimensions, we first need to convert the mixed numbers to improper fractions:
Length: 2 ft. = 2 ft.
Width: 4 1/6 ft. = 25/6 ft.
Height: 8 1/2 ft. = 17/2 ft.
Now, calculate the volume:
V = 2 ft. * 25/6 ft. * 17/2 ft.
V = 2 * 25 * 17 / (6 * 2)
V = 850 / 12
V = 70 5/12 ft³
Therefore, the volume of the rectangular prism is 70 5/12 cubic feet.
Length: 2 ft. = 2 ft.
Width: 4 1/6 ft. = 25/6 ft.
Height: 8 1/2 ft. = 17/2 ft.
Now, calculate the volume:
V = 2 ft. * 25/6 ft. * 17/2 ft.
V = 2 * 25 * 17 / (6 * 2)
V = 850 / 12
V = 70 5/12 ft³
Therefore, the volume of the rectangular prism is 70 5/12 cubic feet.
it is wrong
I apologize for the mistake. Let's recalculate the volume of the rectangular prism.
Given:
Length: 2 ft.
Width: 4 1/6 ft. = 25/6 ft.
Height: 8 1/2 ft. = 17/2 ft.
Volume of the rectangular prism:
V = 2 ft. * 25/6 ft. * 17/2 ft.
V = 2 * 25/6 * 17/2
V = 850/6
V = 141 2/3 ft³
Therefore, the volume of the rectangular prism is 141 2/3 cubic feet.
Given:
Length: 2 ft.
Width: 4 1/6 ft. = 25/6 ft.
Height: 8 1/2 ft. = 17/2 ft.
Volume of the rectangular prism:
V = 2 ft. * 25/6 ft. * 17/2 ft.
V = 2 * 25/6 * 17/2
V = 850/6
V = 141 2/3 ft³
Therefore, the volume of the rectangular prism is 141 2/3 cubic feet.