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March 29, 2017

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You decide to build a pyramid out of wooden blocks. Each block must rest on the corners off 4 other blocks. If there is one block on top and 36 on the bottom, what is the total number of blocks you will need to complete the pyramid?

  • Math - ,

    The top layer has 1 block
    the 2nd layer from the top has 4 blocks
    the 3rd layer from the top has 9 blocks
    the 4th has 16 blocks
    the 5th has 25 blocks, and
    the 6th has s36 blocks

    So we have 1+4+9+16+25+36
    = 91

    btw, there is a formula for the sum of squares of the first n numbers
    sumofsquares(n) = n(n+1)2n+1)/6
    sumofsquares(6) = 6(7)(13)/6 = 91

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