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.%0D%0A%0D%0A(1 point)
(PLs give right answers)
The edge length of the cubes should be equal to the greatest common factor of the three dimensions of the right rectangular prism.
For example, if the dimensions of the right rectangular prism are 12 inches, 16 inches, and 20 inches, then the GCF of 12, 16, and 20 is 4. Therefore, you would use cubes with an edge length of 4 inches to check your answer using the cube method.
try again
If the formula for the volume of a right rectangular prism is V = lwh, then the edge length of the cube would be the cube root of the volume of the right rectangular prism.
Let's say the volume of the right rectangular prism is V cubic inches. To find the edge length of the cube to check your answer using the cube method, you would calculate the cube root of V.
So, if V = 300 cubic inches, then the cube root of 300 is approximately 6.2101 inches.
Therefore, the edge length of the cubes you would use to check your answer would be approximately 6.2101 inches.
Wrong
I apologize for the mistake. Let's try a different approach.
To find the edge length of the cubes you will use for checking the volume of the right rectangular prism using the cube method, you need to calculate the cube root of the volume of the prism.
Let's say the volume of the right rectangular prism is V cubic inches.
If the formula for the volume of a right rectangular prism is V = lwh, where l is the length, w is the width, and h is the height, then you can find the cube root of V to get the edge length of the cubes.
For example, if the volume of the prism is 1000 cubic inches, the cube root of 1000 is 10. Therefore, you would use cubes with an edge length of 10 inches to check your answer using the cube method.