{"status": "success", "data": {"description_md": "Centers of adjacent faces of a unit cube are joined to form a regular octahedron. What is the volume of this octahedron? \n\n$\\mathrm{(A)}\\ \\frac{1}{8}\\qquad\\mathrm{(B)}\\ \\frac{1}{6}\\qquad\\mathrm{(C)}\\ \\frac{1}{4}\\qquad\\mathrm{(D)}\\ \\frac{1}{3}\\qquad\\mathrm{(E)}\\ \\frac{1}{2}$", "description_html": "<p>Centers of adjacent faces of a unit cube are joined to form a regular octahedron. What is the volume of this octahedron?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac{1}{8}\\qquad\\mathrm{(B)}\\ \\frac{1}{6}\\qquad\\mathrm{(C)}\\ \\frac{1}{4}\\qquad\\mathrm{(D)}\\ \\frac{1}{3}\\qquad\\mathrm{(E)}\\ \\frac{1}{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": "2006 AMC 10A Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p25", "prev": "/problem/06_amc10A_p23"}}