{"status": "success", "data": {"description_md": "In the rectangular parallelepiped shown, $AB=3$, $BC=1$, and $CG=2$. Point $M$ is the midpoint of $\\overline{FG}$. What is the volume of the rectangular pyramid with base $BCHE$ and apex $M$? \n\n<center>\n<img class=\"problem-image\" height=\"302\" src=\"https://latex.artofproblemsolving.com/8/8/5/885c4e50ebdac89dd6aba698666a62eaa1b5eba6.png\" width=\"418\"/>\n</center>\n$\\textbf{(A) }1 \\qquad\n\\textbf{(B) }\\frac{4}{3} \\qquad\n\\textbf{(C) }\\frac{3}{2} \\qquad\n\\textbf{(D) }\\frac{5}{3} \\qquad\n\\textbf{(E) }2 \\qquad$", "description_html": "<p>In the rectangular parallelepiped shown,  <span class=\"katex--inline\">AB=3</span> ,  <span class=\"katex--inline\">BC=1</span> , and  <span class=\"katex--inline\">CG=2</span> . Point  <span class=\"katex--inline\">M</span>  is the midpoint of  <span class=\"katex--inline\">\\overline{FG}</span> . What is the volume of the rectangular pyramid with base  <span class=\"katex--inline\">BCHE</span>  and apex  <span class=\"katex--inline\">M</span> ?</p>\n<center>\n<img class=\"problem-image\" height=\"302\" src=\"https://latex.artofproblemsolving.com/8/8/5/885c4e50ebdac89dd6aba698666a62eaa1b5eba6.png\" width=\"418\"/>\n</center>\n$\\textbf{(A) }1 \\qquad\n\\textbf{(B) }\\frac{4}{3} \\qquad\n\\textbf{(C) }\\frac{3}{2} \\qquad\n\\textbf{(D) }\\frac{5}{3} \\qquad\n\\textbf{(E) }2 \\qquad$\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 10", "can_next": true, "can_prev": true, "nxt": "/problem/18_amc10B_p11", "prev": "/problem/18_amc10B_p09"}}