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30 August, 16:33

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

how many 1/4 unit cubes does it take to fill the prism?

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Answers (2)
  1. 30 August, 16:42
    0
    192

    Step-by-step explanation:

    Step 1:

    The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

    Step 2:

    How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

    Step 3:

    There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

    Step 4:

    Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

    3*64=192

    Step 5:

    It takes 192 of the 1/4 unit cubes to fill the prism.
  2. 30 August, 17:02
    0
    192

    Step-by-step explanation:

    The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

    This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.
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