{"status": "success", "data": {"description_md": "A pyramid with a square base is cut by a plane that is parallel to its base and $2$ units from the base. The surface area of the smaller pyramid that is cut from the top is half the surface area of the original pyramid. What is the altitude of the original pyramid?\n\n$\\textbf{(A) } 2 \\qquad\\textbf{(B) } 2+\\sqrt{2} \\qquad\\textbf{(C) } 1+2\\sqrt{2} \\qquad\\textbf{(D) } 4 \\qquad\\textbf{(E) } 4+2\\sqrt{2}$", "description_html": "<p>A pyramid with a square base is cut by a plane that is parallel to its base and  <span class=\"katex--inline\">2</span>  units from the base. The surface area of the smaller pyramid that is cut from the top is half the surface area of the original pyramid. What is the altitude of the original pyramid?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 2 \\qquad\\textbf{(B) } 2+\\sqrt{2} \\qquad\\textbf{(C) } 1+2\\sqrt{2} \\qquad\\textbf{(D) } 4 \\qquad\\textbf{(E) } 4+2\\sqrt{2}</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": "2007 AMC 10B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/07_amc10B_p24", "prev": "/problem/07_amc10B_p22"}}