{"status": "success", "data": {"description_md": "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?\n\n$\\textbf{(A)}\\; 18 \\qquad\\textbf{(B)}\\; 162 \\qquad\\textbf{(C)}\\; 36\\sqrt{21} \\qquad\\textbf{(D)}\\; 18\\sqrt{138} \\qquad\\textbf{(E)}\\; 54\\sqrt{21}$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>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?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\; 18 \\qquad\\textbf{(B)}\\; 162 \\qquad\\textbf{(C)}\\; 36\\sqrt{21} \\qquad\\textbf{(D)}\\; 18\\sqrt{138} \\qquad\\textbf{(E)}\\; 54\\sqrt{21}</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 AMC 12B Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12B_p17", "prev": "/problem/15_amc12B_p15"}}