Difference between revisions of "2015 AMC 12B Problems/Problem 16"
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Latest revision as of 21:25, 6 November 2020
Problem
A regular hexagon with sides of length 6 has an isosceles triangle attached to each side. Each of these triangles has two sides of length 8. The isosceles triangles are folded to make a pyramid with the hexagon as the base of the pyramid. What is the volume of the pyramid?
Solution
The distance from a corner to the center is 6, and from the corner to the top of the pyramid is 8, so the height is .
The area of the hexagon is
Thus, the volume of the pyramid is
.
See Also
2015 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 15 |
Followed by Problem 17 |
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 AMC 12 Problems and Solutions |
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