{"status": "success", "data": {"description_md": "A three-dimensional rectangular box with dimensions $X$, $Y$, and $Z$ has faces whose surface areas are $24, 24, 48, 48, 72,$ and $72$ square units. What is $X+Y+Z$?\n\n$\\textbf{(A) }18 \\qquad\n\\textbf{(B) }22 \\qquad\n\\textbf{(C) }24 \\qquad\n\\textbf{(D) }30 \\qquad\n\\textbf{(E) }36 \\qquad$", "description_html": "<p>A three-dimensional rectangular box with dimensions  <span class=\"katex--inline\">X</span> ,  <span class=\"katex--inline\">Y</span> , and  <span class=\"katex--inline\">Z</span>  has faces whose surface areas are  <span class=\"katex--inline\">24, 24, 48, 48, 72,</span>  and  <span class=\"katex--inline\">72</span>  square units. What is  <span class=\"katex--inline\">X+Y+Z</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }18 \\qquad\n\\textbf{(B) }22 \\qquad\n\\textbf{(C) }24 \\qquad\n\\textbf{(D) }30 \\qquad\n\\textbf{(E) }36 \\qquad</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": 1, "problem_name": "2018 AMC 10B Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p05", "prev": "/problem/18_amc10B_p03"}}