{"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$(\\mathrm {A}) \\ 3 \\qquad (\\mathrm {B}) \\ 4 \\qquad (\\mathrm {C})\\ 5 \\qquad (\\mathrm {D}) \\ 6 \\qquad (\\mathrm {E})\\ 7$\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 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>&#10;<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>&#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": 2, "problem_name": "2005 AMC 12A Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12A_p11", "prev": "/problem/05_amc12A_p09"}}