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.

3 answers

The volume of the right rectangular prism can be found by multiplying the length, width, and height.

The length of the prism is 2 inches, the width is 1 1/3 inches, and the height is 1/3 inch.

Volume = length x width x height
Volume = 2 x 4/3 x 1/3
Volume = 8/3 cubic inches

Therefore, the volume of the right rectangular prism is 8/3 cubic inches.
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The edge length of each cube is 1/3 inch. To find the volume of one cube, we need to cube this edge length:

(1/3)^3 = 1/27 cubic inches

Now, to find the total volume of the right rectangular prism, we can divide the volume of the prism by the volume of one cube:

2 x 1 1/3 x 1/3 = 2 x 4/3 x 1/3 = 8/9 cubic inches

So, the volume of the right rectangular prism packed with cubes is 8/9 cubic inches.