Stewart Stremler wrote:
begin quoting Ralph Shumaker as of Sat, Mar 17, 2007 at 05:14:48AM -0700:
[snip]
That reminds me of the SAT or ACT (or somesuch) many, many moons ago,
where a few students challenged (and eventually won against) a couple of
answers on the test. One asked, ~"If you have two triangular pyramids
"Triangular Pyramid" threw me a bit. They're talking about tetrahedra.
I've seen pyramids with a square base, and others with a triangular
base. I spoke of the latter.
(four sides each) and join them such that one side of one is in full
contact with one side of the other, how many faces are left exposed?
A) 2
B) 3
C) 6
D) 7
Your response was marked wrong if it was not D.
What was the challenge argument?
/me ponders
It doesn't say that the tetrahedra have to be the same size. So
if tetrahedron A is much much larger than tetrahedon B, then one
face of B will be "fully in contact with" one face of A, but A
will have all four faces exposed (but one slightly obscured).
That gives 7.
No other case comes to mind at the moment.
Actually, I think it said that the two were identical.
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