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Friday, July 21, 2006

Squared or Cubed

There is only one 2-digit number (between 10 and 99) that is both a square and a cube. What is it?

There is only one 3-digit number that is both a cube and a square. What is it?

Just to be clear, a square is a number you get by multiply any number by itself. So 4 is a square (2x2 = 4) and so is 16 (4x4 = 16). A cube is a number you get by multiplying any number by itself three times, i.e. 27 is a cube (3x3x3) and 125 (5x5x5).
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5 comments:

  1. Anonymous7/21/2006 12:21 PM

    2^6 = 64
    3^6 = 729.

    ReplyDelete
  2. Andy7/21/2006 12:40 PM

    64 is both a square (of 8) and a cube (of 4)

    729 is both a square (of 27) and a cube (of 9)

    YEAH BIYATCH!!

    ReplyDelete
  3. Abe7/21/2006 2:05 PM

    the 6th-power trick was very sharp; nicely done, Tamara

    ReplyDelete
  4. Anonymous7/21/2006 3:33 PM

    Thanks! It pays to think outside the box (or cube, as it were)

    ReplyDelete
  5. Unknown7/25/2006 12:02 PM

    That was a nice trick tamara! Tamara and Andy got it right, of course.

    Sorry about the late answer (from me), but I was having real problems with blogger yesterday.

    ReplyDelete

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