A right rectangular prism’s edge lengths are 10.5 inches, 5 inches, and 2 inches. How many unit cubes with edge lengths of .5 inches can fit

Question

A right rectangular prism’s edge lengths are 10.5 inches, 5 inches, and 2 inches. How many unit cubes with edge lengths of .5 inches can fit inside the prism?

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Arianna 1 month 2021-09-11T11:58:22+00:00 1 Answer 0

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    2021-09-11T11:59:27+00:00

    Answer:

    840 cubes

    Step-by-step explanation:

    First we need to find the volume of each one:

    Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3

    Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3

    Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:

    Number of cubes = 105 / 0.125 = 840 cubes

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