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Find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of...Asked by ConnexusGirl-_-
Find the volume of the right rectangular prism using the cube method Each cube is 1/3 inch on each side. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms
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To use the cube method, count the number of small cubes needed to fill the rectangular prism.
The length of the prism is 4 times the length of a small cube, so it will require 4 rows of cubes.
The width of the prism is 3 times the width of a small cube, so it will require 3 columns of cubes.
The height of the prism is 6 times the height of a small cube, so it will require 6 layers of cubes.
Thus, the number of small cubes needed to fill the rectangular prism is:
4 x 3 x 6 = 72
Therefore, the volume of the prism is:
72 x (1/3)^3 = 72/27 = 8/3
So the volume of the prism is 8/3 cubic inches, or 2 and 2/3 cubic inches.
The length of the prism is 4 times the length of a small cube, so it will require 4 rows of cubes.
The width of the prism is 3 times the width of a small cube, so it will require 3 columns of cubes.
The height of the prism is 6 times the height of a small cube, so it will require 6 layers of cubes.
Thus, the number of small cubes needed to fill the rectangular prism is:
4 x 3 x 6 = 72
Therefore, the volume of the prism is:
72 x (1/3)^3 = 72/27 = 8/3
So the volume of the prism is 8/3 cubic inches, or 2 and 2/3 cubic inches.
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