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  1. #1
    raul
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    find the total number of rectangular blocks form from 372 identical cubes.
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  2. #2
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    Quote Originally Posted by raul View Post
    find the total number of rectangular blocks form from 372 identical cubes.
    Hi, Raul,

    if you have to use all cubes to form a rectangle, then you'll get 6 different rectangles: Calculate all divisors of 372 and you get:

    1. rectangle: 1 * 372 or 372 * 1
    2. rectangle: 2 * 186 or 186 * 2
    3. rectangle: 3 * 124 or 124 * 3
    4. rectangle: 4 * 93 or 93 * 4
    5. rectangle: 6 * 62 or 62 * 6
    6. rectangle: 12 * 31 or 31 * 12

    EB
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  3. #3
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    Hello, raul!

    Find the total number of rectangular blocks formed from 372 identical cubes.
    We find that: .372 .= .2331

    I found ten blocks:

    . . 1) 1 x 1 x 372
    . . 2) 1 x 2 x 186
    . . 3) 1 x 3 x 124
    . . 4) 1 x 4 x 93
    . . 5) 1 x 6 x 62
    . . 6) 1 x 12 x 31
    . . 7) 2 x 2 x 93
    . . 8) 2 x 3 x 62
    . . 9) 2 x 6 x 31
    . 10) 3 x 4 x 31

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