olymmath

AMC 12 2015b Problem 16

  • Paper

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?

\textbf{(A)} 18 \textbf{(B)} 162 \textbf{(C)} 36\sqrt{21} \textbf{(D)} 18\sqrt{138} \textbf{(E)} 54\sqrt{21}

Dataset text AMC 12 2000 to 2025. Quoted with source.

Show the answer

C

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator amc12/2015b/p16 · Tag 95X8JE1370 · Edit this page on GitHub · Keys: j next, k previous