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11 March, 22:11

a rectangular prism has a length of 12 in a width of 5 in and a height of 4 and 1/4 in the prism is filled with cubes that have Edge length of fourth of an inch how many cubes need to fill the rectangular prism

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  1. 12 March, 01:33
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    The number of cubes = 11520 cubes

    Step-by-step explanation:

    ∵ The length = 12, width = 5 and height = 4

    ∴ The volume = 12 * 5 * 4 = 240 in³

    ∵ The length of the cube = 1/4 in

    ∴ The volume of cube = (1/4) ³ = 1/64 in³

    ∵ 1/4 of the prism is filled

    ∴ 3/4 doesn't fill

    ∴ The empty volume = 3/4 * 240 = 180 in³

    ∴ The number of cubes = 180 : 1/64 = 11520 cubes
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