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15 February, 12:50

A right rectangular prism's edge lengths are 12 inches, 2 1/6 inches, and 4 inches. How many unit cubes with edge lengths of 2/3 inch can fit inside the prism?

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  1. 15 February, 13:07
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    324 cubes

    Step-by-step explanation:

    We calculate how many cubes will fit along each edge:

    12 in : 2/3 in = 12 · 3/2 = 18 cubes

    2 1/6 in : 2/3 in = 13/6 · 3/2 = 39/12 = 13/4 = 3 1/4 → 3 cubes

    4 in : 2/3 in = 4 · 3/2 = 6 cubes

    (18) (3) (6) = 324
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