Question

Use the image to answer the question. the image shows 3 block stacked on top of 3 more block representing a rectangular prism. the height is 2 blocks the width is 3 blocks and the length is 3 blocks. 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

wrong

Answer 2

In this case, we need to find the total number of smaller cubes that fit into the rectangular prism.

The volume of a rectangular prism is given by the formula: V = l * w * h

Given:
Length = 3 blocks = 3 * (1/3) = 1 inch
Width = 3 blocks = 3 * (1/3) = 1 inch
Height = 2 blocks = 2 * (1/3) = 2/3 inch

V = 1 * 1 * 2/3 = 2/3

Therefore, the volume of the right rectangular prism is 2/3.

Answer 3

My apologies for the mistake. Let's try again.

In this case, we need to find the total number of smaller cubes that fit into the rectangular prism.

The volume of a right rectangular prism is given by the formula: V = l * w * h

Given:
Length = 3 blocks = 3 * 1/3 = 1 inch
Width = 3 blocks = 3 * 1/3 = 1 inch
Height = 2 blocks = 2 * 1/3 = 2/3 inch

V = 1 * 1 * 2/3 = 2/3 cubic inches

To find the volume of each small cube, the edge length is 1/3 inch. Therefore, the volume of each cube is (1/3)^3 = 1/27 cubic inches.

To find the total number of small cubes that fit into the rectangular prism, we divide the volume of the prism by the volume of each cube:

(2/3) / (1/27) = (2/3) * (27/1) = 54

Therefore, the total number of small cubes that fit into the rectangular prism is 54.