A cube is created by folding the figure shown. Which face is opposite the face with 1 on it?
Pick one
Solution
Folds occur along the five edges between adjoining faces in the figure shown.
ANsWER: (C)
Consider the face numbered 3 as being the bottom face of the completed cube.
First, fold upward along the four edges of the face numbered 3 (the edges between 3 and 5, 3 and 4,3 and 6 , and 3 and 2 .
After folding upward, the faces numbered , and 6 become the four vertical faces of the cube.
The final fold occurs along the edge between the faces numbered 1 and 2 .
The face numbered 1 becomes the top face of the cube after this fold.
Since the bottom face is opposite the top face, then the face numbered 3 is opposite the face numbered 1 .
ANSWER: (B)
Want a route through all this instead of an archive? The track
puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.