{"status": "success", "data": {"description_md": "Tetrahedron $ABCD$ has $AB=5,AC=3,BC=4,BD=4,AD=3,$ and $CD=\\frac{12}{5}\\sqrt{2}$. What is the volume of the tetrahedron?\n\n$\\textbf{(A)}\\ 3\\sqrt{2}\\qquad\\textbf{(B)}\\ 2\\sqrt{5}\\qquad\\textbf{(C)}\\ \\frac{24}{5}\\qquad\\textbf{(D)}\\ 3\\sqrt{3}\\qquad\\textbf{(E)}\\ \\frac{24}{5}\\sqrt{2}$\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>Tetrahedron  <span class=\"katex--inline\">ABCD</span>  has  <span class=\"katex--inline\">AB=5,AC=3,BC=4,BD=4,AD=3,</span>  and  <span class=\"katex--inline\">CD=\\frac{12}{5}\\sqrt{2}</span> . What is the volume of the tetrahedron?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 3\\sqrt{2}\\qquad\\textbf{(B)}\\ 2\\sqrt{5}\\qquad\\textbf{(C)}\\ \\frac{24}{5}\\qquad\\textbf{(D)}\\ 3\\sqrt{3}\\qquad\\textbf{(E)}\\ \\frac{24}{5}\\sqrt{2}</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 12A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12A_p17", "prev": "/problem/15_amc12A_p15"}}