{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"d396479e-7951-550d-bfc3-58d6fb0a51dc","task_key":"geometry--test--d396479e-7951-550d-bfc3-58d6fb0a51dc","task_revision_id":"1","upstream_id":"","short_description":"$ABCDEFGH$ shown below is a right rectangular prism. If the volume of pyramid…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"$ABCDEFGH$ shown below is a right rectangular prism.  If the volume of pyramid $ABCH$ is 20, then what is the volume of $ABCDEFGH$?\\n\\n[asy]\\n\\nimport three;\\n\\ntriple A,B,C,D,EE,F,G,H;\\n\\nA = (0,0,0);\\n\\nB = (5,0,0);\\n\\nC = (5,6,0);\\n\\nD= (0,6,0);\\n\\nEE = (0,0,4);\\n\\nF = B+EE;\\n\\nG = C + EE;\\n\\nH = D + EE;\\n\\ndraw(B--C--D);\\n\\ndraw(B--A--D,dashed);\\n\\ndraw(EE--F--G--H--EE);\\n\\ndraw(A--EE,dashed);\\n\\ndraw(B--F);\\n\\ndraw(C--G);\\n\\ndraw(D--H);\\n\\nlabel(\\\"$A$\\\",A,S);\\n\\nlabel(\\\"$B$\\\",B,W);\\n\\nlabel(\\\"$C$\\\",C,S);\\n\\nlabel(\\\"$D$\\\",D,E);\\n\\nlabel(\\\"$E$\\\",EE,N);\\n\\nlabel(\\\"$F$\\\",F,W);\\n\\nlabel(\\\"$G$\\\",G,SW);\\n\\nlabel(\\\"$H$\\\",H,E);\\n\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}