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29 January, 06:39

A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm.

The prism is filled with cubes that have edge lengths of 12 cm.

How many cubes are needed to fill the rectangular prism?

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To fill the rectangular prism,

cubes are needed.

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Answers (1)
  1. 29 January, 09:07
    0
    Answer: To fill the rectangular prism, 4 cubes are needed.

    Step-by-step explanation:

    Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:

    Volume of a rectangular prism = Length x width x height

    V P = 6x3x412 = 7,416 cm3

    Volume of a cube = side length^3

    VC = 12^3 = 1,728 cm3

    Finally;

    Volume of the prism / volume of one cube = 7,416 / 1,728 = 4.29 = 4 cubes

    Feel free to ask for more if needed or if you did not understand something.
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