Saturday, November 13, 2010

Perfect Square Cube

What is the smallest natural number (greater than 0) that is both a perfect square and a perfect cube? What is the next smallest number?


5 x 5 = 25 Perfect Square
5 x 5 x 5 = 125 Perfect Cube
Find a number that is BOTH a square and a cube.

9 comments:

  1. christopher pierce11/15/2010 6:47 PM

    zero to the 2nd power and zero to the 3rd power the number is zero

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  2. Bradley Rubenstein11/16/2010 4:50 PM

    64
    8 squared is 64
    4 cubed is 64

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  3. Grayson Ippolito11/17/2010 6:28 PM

    4 times 4 = 16 ,which is a perfect square
    4 times 4 times 4 equals 64 which is 4 cubed

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  4. Sorry Grayson,

    You need to find a number that is both a square and a cube.
    16 is a square and 64 is a cube, but 16 is not equal to 64!

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  5. @ Chris,

    Sorry Zero will not count!
    Try again!

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  6. @ Kaitlin,

    10 is neither a perfect square or cube.

    Try again

    ReplyDelete
  7. 1 is the smallest and 64 is the next perfect square and cube

    1 = 1 x 1
    1 = 1 x 1 x 1

    64 = 8 x 8
    64 = 4 x 4 x 4

    ReplyDelete