Use the image to answer the question.

An illustration shows a rectangular prism with length 1 and one-third inches, width 1 inch, and height two-thirds inch. The edges that are not visible are represented by dashed lines.

How many 13-inch cubes would fit inside the right rectangular prism?

7 cubes

24 cubes

24 cubic inches

2427 cubic inches

1 answer

None of the above. We need to find the volume of the rectangular prism first:

Volume = length x width x height = (1 and 1/3) x 1 x (2/3) = 4/9 cubic inches

Then, we need to divide the volume of the rectangular prism by the volume of a 13-inch cube:

(4/9) ÷ (13³) = 0.0007251

Rounded to the nearest whole number, this means that 0.0007251 of a 13-inch cube would fit inside the rectangular prism, which is zero whole cubes. So the answer is: zero 13-inch cubes.
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