A rectangular prism is filled with 356 cubes with an edge length of 1/4 what is the volume of this prism

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A rectangular prism is filled with 356 cubes with an edge length of 1/4 what is the volume of this prism

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Yến Oanh 3 years 2021-08-08T13:24:41+00:00 1 Answers 20 views 0

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  1. ngochoa
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    2021-08-08T13:25:54+00:00
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    Answer: volume = 5.5625 cubic units.

    Step-by-step explanation:

    A rectangular prism is filled with 356 cubes, then the volume of the prism will be equal to 356 times the volume of a single cube.

    We know that for a cube with side length L, the volume is:

    V = L^3

    And we know that these small cubes have an edge length of 1/4 units.

    Then the volume of each small cube is:

    V = (1/4)^3 cubic units

    V = (1/64) cubic units

    And the volume of the prism will be 356 times that, then the volume of the prism is:

    volume = 356*(1/64) cubic units

    volume = 5.5625 cubic units.

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