{"status": "success", "data": {"description_md": "A triangle $\\triangle ABC$ with sides $5$, $6$, $7$ is placed in the three-dimensional plane with one vertex on the positive $x$ axis, one on the positive $y$ axis, and one on the positive $z$ axis. Let $O$ be the origin. What is the volume of $OABC$?  \n\n$\\mathrm{(A)}\\ \\sqrt{85}\\qquad\\mathrm{(B)}\\ \\sqrt{90}\\qquad\\mathrm{(C)}\\ \\sqrt{95}\\qquad\\mathrm{(D)}\\ 10\\qquad\\mathrm{(E)}\\ \\sqrt{105}$\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 triangle  <span class=\"katex--inline\">\\triangle ABC</span>  with sides  <span class=\"katex--inline\">5</span> ,  <span class=\"katex--inline\">6</span> ,  <span class=\"katex--inline\">7</span>  is placed in the three-dimensional plane with one vertex on the positive  <span class=\"katex--inline\">x</span>  axis, one on the positive  <span class=\"katex--inline\">y</span>  axis, and one on the positive  <span class=\"katex--inline\">z</span>  axis. Let  <span class=\"katex--inline\">O</span>  be the origin. What is the volume of  <span class=\"katex--inline\">OABC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\sqrt{85}\\qquad\\mathrm{(B)}\\ \\sqrt{90}\\qquad\\mathrm{(C)}\\ \\sqrt{95}\\qquad\\mathrm{(D)}\\ 10\\qquad\\mathrm{(E)}\\ \\sqrt{105}</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": "2008 AMC 12A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12A_p19", "prev": "/problem/08_amc12A_p17"}}