Difference between revisions of "1999 AMC 8 Problems/Problem 8"
(Created page with "The answer is clearly (A) because if you fold it in your head you will get the answer. This problem was all about spacial sense.") |
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− | The | + | ==problem== |
+ | |||
+ | Six squares are colored, front and back, (R=red, B=blue, | ||
+ | O=orange, Y=yellow, G=green, and W=white). They | ||
+ | are hinged together as shown, then folded to form a cube. | ||
+ | The face opposite the white face is | ||
+ | (A) B (B) G (C) O (D) R (E) Y | ||
+ | |||
+ | ==solution== | ||
+ | |||
+ | (A) B: When G is arranged to be | ||
+ | the base, B is the back face and W is | ||
+ | the front face. Thus, B is opposite W . | ||
+ | OR | ||
+ | Let Y be the top and fold G, O, and W down. | ||
+ | Then B will fold to become the back face and be | ||
+ | opposite W . | ||
+ | |||
+ | ==See Also== | ||
+ | |||
+ | {{AMC8 box|year=1999|num-b=7|num-a=9}} |
Revision as of 14:00, 4 November 2012
problem
Six squares are colored, front and back, (R=red, B=blue, O=orange, Y=yellow, G=green, and W=white). They are hinged together as shown, then folded to form a cube. The face opposite the white face is (A) B (B) G (C) O (D) R (E) Y
solution
(A) B: When G is arranged to be the base, B is the back face and W is the front face. Thus, B is opposite W . OR Let Y be the top and fold G, O, and W down. Then B will fold to become the back face and be opposite W .
See Also
1999 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |