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655-705 (Hard)|   Geometry|      
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Bunuel
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Suppose you have three identical prisms with congruent equilateral tri 18 Jun 2022, 10:45
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Difficulty:

65% (hard)

Question Stats:

46% (01:53) correct 54% (02:03) wrong based on 41 sessions

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Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have?

(A) 4
(B) 6
(C) 9
(D) 10
(E) 12


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B
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ThatDudeKnows
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Suppose you have three identical prisms with congruent equilateral tri 29 Jun 2022, 21:11
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Bunuel
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have?

(A) 4
(B) 6
(C) 9
(D) 10
(E) 12

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We are going to end up with the attached shape at both ends, so that's 2. And each of the edges of the aggregate shape will each correspond to a side, so that's 4 more.
2+4=6

Answer choice B.
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