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15 April, 11:08

A prism is filled with 3 layers of cubes. Each layer has 25 cubes. The volume of each cube is 1 cubic inch. What is the volume of the prism?

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  1. 15 April, 14:17
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    The volume of the prism is 75 cubic inches

    Step-by-step explanation:

    The volume of the prism is the amount of space contained on the interior of the prism.

    Now we have that this entire space is filled with cubes of defined volumes. Therefore, to get the volume of the prism, we can simply get the total volume occupied by all the cubes. This should give us our answer.

    From the information we are given, we know that the there are 3 layers of cubes each containing 25 cubes.

    This gives the total number of cubes to be 3 X 25 = 75 cubes in total

    We also know that the volume of 1 cube is 1 cubic inch.

    Hence the volume of 75 cubes will be 75 X 1 cubic inch = 75 cubic inches.
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