{"status": "success", "data": {"description_md": "What is the volume of tetrahedron $ABCD$ with edge lengths $AB = 2$, $AC = 3$, $AD = 4$, $BC = \\sqrt{13}$, $BD = 2\\sqrt{5}$, and $CD = 5$ ?\n\n$\\textbf{(A)} ~3 \\qquad\\textbf{(B)} ~2\\sqrt{3} \\qquad\\textbf{(C)} ~4\\qquad\\textbf{(D)} ~3\\sqrt{3}\\qquad\\textbf{(E)} ~6$", "description_html": "<p>What is the volume of tetrahedron  <span class=\"katex--inline\">ABCD</span>  with edge lengths  <span class=\"katex--inline\">AB = 2</span> ,  <span class=\"katex--inline\">AC = 3</span> ,  <span class=\"katex--inline\">AD = 4</span> ,  <span class=\"katex--inline\">BC = \\sqrt{13}</span> ,  <span class=\"katex--inline\">BD = 2\\sqrt{5}</span> , and  <span class=\"katex--inline\">CD = 5</span>  ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~3 \\qquad\\textbf{(B)} ~2\\sqrt{3} \\qquad\\textbf{(C)} ~4\\qquad\\textbf{(D)} ~3\\sqrt{3}\\qquad\\textbf{(E)} ~6</span> </p>\n<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": "2021 AMC 10A Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p14", "prev": "/problem/21_amc10A_p12"}}