{"status": "success", "data": {"description_md": "A cubical cake with edge length $2$ inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where $M$ is the midpoint of a top edge. The piece whose top is triangle $B$ contains $c$ cubic inches of cake and $s$ square inches of icing. What is $c+s$?\n\n<center>\n<img class=\"problem-image\" height=\"98\" src=\"https://latex.artofproblemsolving.com/b/9/a/b9a0b0d2b46c6d8034bbea244b0985f0df2a098d.png\" width=\"118\"/>\n</center>\n\n$\\text{(A) } \\frac{24}{5}\n\\qquad\n\\text{(B) } \\frac{32}{5}\n\\qquad\n\\text{(C) } 8+\\sqrt5\n\\qquad\n\\text{(D) } 5+\\frac{16\\sqrt5}{5}\n\\qquad\n\\text{(E) } 10+5\\sqrt5$", "description_html": "<p>A cubical cake with edge length  <span class=\"katex--inline\">2</span>  inches is iced on the sides and the top. It is cut vertically into three pieces as shown in this top view, where  <span class=\"katex--inline\">M</span>  is the midpoint of a top edge. The piece whose top is triangle  <span class=\"katex--inline\">B</span>  contains  <span class=\"katex--inline\">c</span>  cubic inches of cake and  <span class=\"katex--inline\">s</span>  square inches of icing. What is  <span class=\"katex--inline\">c+s</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"98\" src=\"https://latex.artofproblemsolving.com/b/9/a/b9a0b0d2b46c6d8034bbea244b0985f0df2a098d.png\" width=\"118\"/>\n</center>\n<p> <span class=\"katex--inline\">\\text{(A) } \\frac{24}{5}\n\\qquad\n\\text{(B) } \\frac{32}{5}\n\\qquad\n\\text{(C) } 8+\\sqrt5\n\\qquad\n\\text{(D) } 5+\\frac{16\\sqrt5}{5}\n\\qquad\n\\text{(E) } 10+5\\sqrt5</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": "2009 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10B_p23", "prev": "/problem/09_amc10B_p21"}}