An illustration with 6 cubes packed in a right rectangular prism. If the edge of each cube measures 1/3 an inch. The cubes are arranged that there are 3 columns and 2 rows, 2 cubes in each column. What is the volume of the whole rectangular prism?

3 answers

The total number of cubes is 6, arranged in 3 columns and 2 rows, with 2 cubes in each column. This means the rectangular prism has a length of 2 cubes, a width of 3 cubes, and a height of 1 cube.

The edge of each cube is 1/3 inch. Therefore, the length of the rectangular prism is:

2 cubes x (1/3 inch/cube) = 2/3 inch

The width of the rectangular prism is:

3 cubes x (1/3 inch/cube) = 1 inch

The height of the rectangular prism is:

1 cube x (1/3 inch/cube) = 1/3 inch

The volume of the rectangular prism is:

(2/3 inch) x (1 inch) x (1/3 inch) = 2/9 cubic inches.

Therefore, the volume of the whole rectangular prism is 2/9 cubic inches.
I apologize for the error in my previous response. Let me attempt to solve this correctly.

Each cube has an edge of 1/3 inch, so its volume is (1/3)^3 = 1/27 cubic inch.

The 6 cubes are arranged in a 3 by 2 pattern, with 2 cubes in each column. Therefore, the length of the rectangular prism is 2*(1/3) = 2/3 inch, the width is 3*(1/3) = 1 inch, and the height is 1*(1/3) = 1/3 inch.

The volume of the rectangular prism is length x width x height, which gives us:

(2/3) x 1 x (1/3) = 2/9 cubic inch

Therefore, the volume of the whole rectangular prism is 2/9 cubic inch.
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