{"status": "success", "data": {"description_md": "\nTetrahedron $ABCD$ has $AB=5$, $AC=3$, $BC=4$, $BD=4$, $AD=3$, and $CD=\\tfrac{12}5\\sqrt2$. What is the volume of the tetrahedron?  \n  \n$\\textbf{(A) }3\\sqrt2\\qquad\\textbf{(B) }2\\sqrt5\\qquad\\textbf{(C) }\\dfrac{24}5\\qquad\\textbf{(D) }3\\sqrt3\\qquad\\textbf{(E) }\\dfrac{24}5\\sqrt2$", "description_html": "<p>Tetrahedron <span class=\"katex--inline\">ABCD</span> has <span class=\"katex--inline\">AB=5</span>, <span class=\"katex--inline\">AC=3</span>, <span class=\"katex--inline\">BC=4</span>, <span class=\"katex--inline\">BD=4</span>, <span class=\"katex--inline\">AD=3</span>, and <span class=\"katex--inline\">CD=\\tfrac{12}5\\sqrt2</span>. What is the volume of the tetrahedron?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) }3\\sqrt2\\qquad\\textbf{(B) }2\\sqrt5\\qquad\\textbf{(C) }\\dfrac{24}5\\qquad\\textbf{(D) }3\\sqrt3\\qquad\\textbf{(E) }\\dfrac{24}5\\sqrt2</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2015 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p22", "prev": "/problem/15_amc10A_p20"}}