{"status": "success", "data": {"description_md": "A rhombic dodecahedron is a solid with $12$ congruent rhombus faces. At every vertex, $3$ or $4$ edges meet, depending on the vertex. How many vertices have exactly $3$ edges meet?\n\n$\\textbf{(A) }5\\qquad\\textbf{(B) }6\\qquad\\textbf{(C) }7\\qquad\\textbf{(D) }8\\qquad\\textbf{(E) }9$", "description_html": "<p>A rhombic dodecahedron is a solid with  <span class=\"katex--inline\">12</span>  congruent rhombus faces. At every vertex,  <span class=\"katex--inline\">3</span>  or  <span class=\"katex--inline\">4</span>  edges meet, depending on the vertex. How many vertices have exactly  <span class=\"katex--inline\">3</span>  edges meet?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }5\\qquad\\textbf{(B) }6\\qquad\\textbf{(C) }7\\qquad\\textbf{(D) }8\\qquad\\textbf{(E) }9</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": "2023 AMC 10A Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/23_amc10A_p19", "prev": "/problem/23_amc10A_p17"}}