Use the image to answer the question. 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 point)

1 answer

To find the volume of the right rectangular prism using the cube method, you need to fill the prism with cubes of a certain edge length.

The volume of the prism is given by:

Volume = Length x Width x Height

From the image, we can see that the length of the prism is 4 inches, the width is 3 inches, and the height is 5 inches.

Therefore, the volume of the prism is:

Volume = 4 x 3 x 5 = 60 cubic inches

Now, to check this volume using the cube method, you need to find the edge length of a cube that can fit in the prism. This cube would have a volume equal to the volume of the prism.

Since the volume of the prism is 60 cubic inches, the cube's volume would also be 60 cubic inches.

To find the edge length of the cube, we need to find the cube root of 60:

(60)^(1/3) = 3.914...

Therefore, the edge length of the cube you will use is approximately 3.914 inches (or in fraction form, 491/125 inches).