{"status": "success", "data": {"description_md": "Three 12 cm $\\times$ 12 cm squares are each cut into two pieces $A$ and $B$, as shown in the first figure below, by joining the midpoints of two adjacent sides. These six pieces are then attached to a regular hexagon, as shown in the second figure, so as to fold into a polyhedron. What is the volume (in $\\text{cm}^3$) of this polyhedron?<br><br>$\\includegraphics[width=209, height=106, totalheight=106]{https://latex.artofproblemsolving.com/4/f/1/4f11de0da8f9042f43dd8d192b2ace73636564bd.png}$\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>Three 12 cm <span class=\"katex--inline\">\\times</span> 12 cm squares are each cut into two pieces <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span>, as shown in the first figure below, by joining the midpoints of two adjacent sides. These six pieces are then attached to a regular hexagon, as shown in the second figure, so as to fold into a polyhedron. What is the volume (in <span class=\"katex--inline\">\\text{cm}^3</span>) of this polyhedron?<br/><br/><img src=\"https://latex.artofproblemsolving.com/4/f/1/4f11de0da8f9042f43dd8d192b2ace73636564bd.png\" width=\"209\" height=\"106\" class=\"problem-image\"/></p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 6, "problem_name": "1985 AIME Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/85_aime_p14"}}