{"status": "success", "data": {"description_md": "A rectangular box measures $a \\times b \\times c$, where $a,$ $b,$ and $c$ are integers and $1 \\leq a \\leq b \\leq c$. The volume and surface area of the box are numerically equal. How many ordered triples $(a,b,c)$ are possible?\n\n$\\textbf{(A) }4\\qquad\\textbf{(B) }10\\qquad\\textbf{(C) }12\\qquad\\textbf{(D) }21\\qquad\\textbf{(E) }26$", "description_html": "<p>A rectangular box measures  <span class=\"katex--inline\">a \\times b \\times c</span> , where  <span class=\"katex--inline\">a,</span>   <span class=\"katex--inline\">b,</span>  and  <span class=\"katex--inline\">c</span>  are integers and  <span class=\"katex--inline\">1 \\leq a \\leq b \\leq c</span> . The volume and surface area of the box are numerically equal. How many ordered triples  <span class=\"katex--inline\">(a,b,c)</span>  are possible?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }4\\qquad\\textbf{(B) }10\\qquad\\textbf{(C) }12\\qquad\\textbf{(D) }21\\qquad\\textbf{(E) }26</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 10B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/15_amc10B_p24"}}