Question

Find the volume of the right rectangular prism packed with cubes. Each cube has an edge length of 1/3 inch. Enter the answer in a fraction and do not reduce.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the volume of the prism, we need to calculate the number of cubes that fit into it and then multiply that by the volume of each cube.

The dimensions of the prism are not given, so for the sake of simplicity let's assume the dimensions are 3 inches by 3 inches by 3 inches.

Since each cube has an edge length of 1/3 inch, the number of cubes that fit into the prism along each edge will be 3/(1/3) = 9.

Therefore, the total number of cubes that fit in the prism is 9 * 9 * 9 = 729 cubes.

The volume of each cube is (1/3)^3 = 1/27 cubic inches.

Multiplying the volume of each cube by the total number of cubes:

Volume = 729 * 1/27 = 729/27 = 27

Therefore, the volume of the prism packed with cubes is 27 cubic inches.