find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms.

(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To find the volume of the right rectangular prism, we need to count the number of cubes that fit inside the prism and multiply that by the volume of each cube.

Given that each cube has a side length of 1/3 inch, the volume of each cube is (1/3)^3 = 1/27 cubic inches.

The prism has dimensions of 6 cubes in length, 3 cubes in width, and 4 cubes in height.

Therefore, the total volume of the prism can be found by multiplying the number of cubes in each dimension:

6 * 3 * 4 = 72

Finally, we multiply this by the volume of each cube to find the total volume of the prism:

72 * 1/27 = 72/27 = 8/3

So, the volume of the right rectangular prism is 8/3 cubic inches.

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