School-Safe Puzzle Games

## The Big Totem Pole Puzzle, THE 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):