2/3

1층
1
You find the volume of the right rectangular prism using the formula method and want
to check your answer using the cube method. What is the edge length of the cubes
you will use? Lengths are given in inches. Provide your answer as a fraction reduced
to the lowest terms.

1 answer

To find the edge length of the cubes used in the cube method, we can use the formula:

Volume = Edge length^3

Given that the volume of the right rectangular prism is 2/3, we can set up the equation:

2/3 = Edge length^3

To find the edge length, we can take the cube root of both sides:

Edge length = (2/3)^(1/3)

Since (2/3)^(1/3) is equivalent to the cube root of 2/3, the edge length of the cubes used in the cube method is the cube root of 2/3, which cannot be simplified further.

Therefore, the edge length of the cubes used is (2/3)^(1/3) inches.