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.
Visually, I think that the purple blocks have the greater volume.
I get yellow edging out blue by a nose, with purple a distant third!
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.
(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.
Typing too fast. I meant to type:
” Because 1 quarter circle + 1 wedge = 1 square, these equate to: “
Nice explanation Bobo the bear, this is an example of divide and conquer
Yes, Yellow is greatest. Here’s Peter Grabarchuk’s solution (similar to what BobotheBear writes):
http://www.smart-kit.com/wp-co.....answer.jpg