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30 May, 11:39

A rectangular prism is 4 units x 2-1/2 units by 1-1/2 units. how many cubes with a side length of 1/2 unit will completely fill the prism

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  1. 30 May, 11:41
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    Find 2 things

    1. volume of 1 cube

    2. volme of rectangular prism

    1. volume of a cube=side^3

    side=1/2

    v=1/2^3=1/8 cubic units

    2. volume=legnth times widht itmes height

    4

    2 and 1/2

    1 and 1/2

    for ease, convert to improper

    2 and 1/2=2+1/2=4/2+1/2=5/2

    1 and 1/2=1+1/2=2/2+1/2=3/2

    so

    v=4/1 times 5/2 times 3/2=60/4=15

    so

    how many cubes does it take to fill the prism

    how many cubes times volume of 1 cube=volume of prism

    xcubes times 1/8unit^3=15unt^3

    multiply both sides by 8/1 unit^3 to clear fraction (since 1/8 times 8/1=8/8=1)

    xcubes=240

    need 240 cubes to fill prism
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