Question

A right rectangular prism is made up of 4 cubes that are 1/5 inch on each side. Use the cube method or the formula method to find the volume. Reduce your answer to lowest terms.

Answer 1

Using the cube method:

The volume of each cube is `(1/5)^3 = 1/125` cubic inches.
Since the prism is made up of 4 cubes, the total volume is `4 * 1/125 = 4/125 = 1/31.25` cubic inches.

Using the formula method:

The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.
In this case, the length, width, and height of the prism are all equal to 1/5 inch.

Therefore, the volume of the prism is V = (1/5)(1/5)(1/5) = 1/125 cubic inches.

Both methods yield the same result: 1/125 cubic inches or 1/31.25 cubic inches in lowest terms.