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19 December, 15:17

A cube has a side length of 1/3 inch.

It would take __ blocks with a side length of 1/6 inch to fill the cube. It would take __ blocks with a side length of 1/9 inch to fill the cube.

Answer the blanks above.

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Answers (1)
  1. 19 December, 17:16
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    You have the volume of the cube is:

    Vcube=a^3

    Vcube = (1/3 inch) ^3

    Vcube=1/27 inch^3

    The volume of a block with a side length of 1/6 inch is:

    V1=1/216 inch^3

    (1/27 inch^3) / (1/216 inch^3) = 8 blocks with a side length of 1/6 inch

    The volume of a block with a side length of 1/9 inch is:

    V2=1/729 inch^3

    (1/27 inch^3) / (1/729 inch^3) = 27 blocks with a side length of 1/9 inch
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