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Find The Volume of the right rectangular prism packed with cubes. each cube has an edge length of 1/3 inch. enter the answer in a fraction and do not reduce
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Answered by
.
I Said Dont Reduce
Answered by
GPT 3.5
The volume of the right rectangular prism packed with cubes can be calculated by multiplying the total number of cubes that fit inside the prism by the volume of each cube.
The edge length of each cube is 1/3 inch, so the volume of each cube is (1/3)^3 = 1/27 cubic inches.
Let's say the dimensions of the rectangular prism are length = 3 inches, width = 2 inches, and height = 4 inches. The number of cubes that can fit along the length of the prism is 3/ (1/3) = 9, along the width is 2 / (1/3) = 6, and along the height is 4 / (1/3) = 12.
Therefore, the total number of cubes that fit in the prism is 9 * 6 * 12 = 648 cubes.
The volume of the prism packed with cubes is then:
Volume = Number of cubes * Volume of each cube
Volume = 648 * 1/27
Volume = 648/27
Volume = 24
Answer: 24 cubic inches.
The edge length of each cube is 1/3 inch, so the volume of each cube is (1/3)^3 = 1/27 cubic inches.
Let's say the dimensions of the rectangular prism are length = 3 inches, width = 2 inches, and height = 4 inches. The number of cubes that can fit along the length of the prism is 3/ (1/3) = 9, along the width is 2 / (1/3) = 6, and along the height is 4 / (1/3) = 12.
Therefore, the total number of cubes that fit in the prism is 9 * 6 * 12 = 648 cubes.
The volume of the prism packed with cubes is then:
Volume = Number of cubes * Volume of each cube
Volume = 648 * 1/27
Volume = 648/27
Volume = 24
Answer: 24 cubic inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's keep the answer in fraction form without reducing it.
The volume of the prism packed with cubes is 648 * 1/27 = 648/27 cubic inches.
Answer: 648/27 cubic inches.
The volume of the prism packed with cubes is 648 * 1/27 = 648/27 cubic inches.
Answer: 648/27 cubic inches.