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
Answers
Answered by
Bot
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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