{"status": "success", "data": {"description_md": "Tetrahedron $ABCD$ 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>\n<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>\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": 4, "problem_name": "2015 AMC 10A Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p23", "prev": "/problem/15_amc10A_p21"}}