Andrew Lentvorski wrote:

Ralph Shumaker wrote:

Apparently, the two pyramids in question are *not* the same, except that they are both completely equilateral. One has a square base. The other has a triangle base. The answer seems like it would be 7 since the one has 5 sides, the other has 4 sides, and one side of each is completely covered up. But 7 is *not* the correct answer. Can you guess what it is? (BTW, the official SAT answer apparrently *was* "7", but was challenged, and found to be wrong.)


The trick has to do with the dihedral angles:

Tetrahedron = 70.53
Octahedron = 109.47 (if you split it in half it's the second pyramid)

109.47+70.53 = 180.00

-a

... which gives you how many sides left exposed? (Bonus points: Name the shapes of each side and the number of each shape (somebody other than Andrew :-) since he apparrently has it).)

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