A rectangle prism has a length of 20 in., width of 2., and a height of 3 1/4 Prism is filled with cubes that have edges lengths of 1/4 inch

Question

A rectangle prism has a length of 20 in., width of 2., and a height of 3 1/4 Prism is filled with cubes that have edges lengths of 1/4 inch how many cubes are needed in a rectangle prism

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Ayla 2 weeks 2021-09-10T12:37:21+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T12:38:32+00:00

    Answer:

    The answer to your question is 8320 cubes

    Step-by-step explanation:

    Data

     Rectangular prism              Cubes

    length = 20 in                    side = 1/4

    width = 2 in

    height = 3 1/4 in

    Process

    1.- Calculate the volume of the Rectangle prism

    Volume = length x width x height

    Volume = 20 x 2 x 3.25

                 = 130 in³

    2.- Calculate the volume of the Cube

    Volume = side x side x side

    Volume = 0.25  x 0.25 x 0.25

                 = 0.0156 in³

    3.- Divide the volume of the rectangular prism by the volume of the cube

    Number of cubes = 130 / 0.0156

                                 = 8320 cubes

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