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The Big Totem Pole Puzzle, THE MAN

printable visual spatial puzzle Man

The Totem Pole shape consists of Yellow, Sky Blue, and Purple blocks. Which is greatest:

  • the total volume of the Yellow Blocks?
  • the total volume of the Sky Blue blocks?
  • or the total volume of the Purple blocks?

(Attention Teachers: this makes for a good printable puzzle!)

Related:

The Big Totem Pole Puzzle: FOUR SQUARES

The Big Totem Pole Puzzle:  THE EAGLE

Smart-Kits full printable puzzle archive

The above printable Totem Pole puzzles made especially for Smart-Kit.com by Peter Grabarchuk.

7 Comments to “The Big Totem Pole Puzzle, THE MAN”


  1. suineg | PUZZLE MASTER | Profile

    Visually, I think that the purple blocks have the greater volume.


  2. Shawn | PUZZLE GRANDMASTER | Profile

    I get yellow edging out blue by a nose, with purple a distant third!


  3. suineg | PUZZLE MASTER | Profile

    WOW, Its a close call really, but I think Shawn is right, but I get that either the blue and the purple have the same volume or the purple has a slightly higher volume, but the yellow wins, my bad, cool.


  4. Bobo The Bear | PUZZLE MASTER | Profile

    (For lack of better terminology, I’ll call the shape formed by removing a quaretr circle from a square a “wedge”. I’d love to know if there’s a “real” name for this shape.)


    Blue = 8 quarter circles + 5 wedges + 16 squares.
    Yellow = 8 quarter circles + 6 wedges + 16 squares.
    Purple = 6 quarter circles + 3 wedges + 18 squares.


    Because 1 quarter circle + 1 wedge + 1 square, thses equate to:


    Blue = 6 quarter circles + 3 wedges + 18 squares.
    Yellow = 6 quarter circles + 4 wedges + 18 squares.
    Purple = 6 quarter circles + 3 wedges + 18 squares.


    So it turns out that Yellow wins by a nose. Or a wedge. Or a whatever you call it.


  5. Bobo The Bear | PUZZLE MASTER | Profile

    Typing too fast. I meant to type:
    ” Because 1 quarter circle + 1 wedge = 1 square, these equate to: “


  6. suineg | PUZZLE MASTER | Profile

    Nice explanation Bobo the bear, this is an example of divide and conquer


  7. RK | Founder | Profile

    Yes, Yellow is greatest. Here’s Peter Grabarchuk’s solution (similar to what BobotheBear writes):


    http://www.smart-kit.com/wp-co.....answer.jpg


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