{"status": "success", "data": {"description_md": "A rectangular box has a total surface area of 94 square inches. The sum of the lengths of all its edges is 48 inches. What is the sum of the lengths in inches of all of its interior diagonals?\n\n$\\textbf{(A)}\\ 8\\sqrt{3}\\qquad\\textbf{(B)}\\ 10\\sqrt{2}\\qquad\\textbf{(C)}\\ 16\\sqrt{3}\\qquad\\textbf{(D)}\\ 20\\sqrt{2}\\qquad\\textbf{(E)}\\ 40\\sqrt{2}$\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 rectangular box has a total surface area of 94 square inches. The sum of the lengths of all its edges is 48 inches. What is the sum of the lengths in inches of all of its interior diagonals?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 8\\sqrt{3}\\qquad\\textbf{(B)}\\ 10\\sqrt{2}\\qquad\\textbf{(C)}\\ 16\\sqrt{3}\\qquad\\textbf{(D)}\\ 20\\sqrt{2}\\qquad\\textbf{(E)}\\ 40\\sqrt{2}</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": 3, "problem_name": "2014 AMC 12B Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p15", "prev": "/problem/14_amc12B_p13"}}