{"status": "success", "data": {"description_md": "A wooden cube $n$ units on a side is painted red on all six faces and then cut into $n^3$ unit cubes. Exactly one-fourth of the total number of faces of the unit cubes are red. What is $n$?\n\n$\\mathrm{(A) \\ } 3\\qquad \\mathrm{(B) \\ } 4\\qquad \\mathrm{(C) \\ } 5\\qquad \\mathrm{(D) \\ } 6\\qquad \\mathrm{(E) \\ } 7$", "description_html": "<p>A wooden cube  <span class=\"katex--inline\">n</span>  units on a side is painted red on all six faces and then cut into  <span class=\"katex--inline\">n^3</span>  unit cubes. Exactly one-fourth of the total number of faces of the unit cubes are red. What is  <span class=\"katex--inline\">n</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 3\\qquad \\mathrm{(B) \\ } 4\\qquad \\mathrm{(C) \\ } 5\\qquad \\mathrm{(D) \\ } 6\\qquad \\mathrm{(E) \\ } 7</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": 3, "problem_name": "2005 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10A_p12", "prev": "/problem/05_amc10A_p10"}}