{"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":"966c9a1a-46fb-5d41-b16e-cbeb7151410a","task_key":"geometry--test--966c9a1a-46fb-5d41-b16e-cbeb7151410a","task_revision_id":"1","upstream_id":"","short_description":"A particular right square-based pyramid has a volume of 63,960 cubic meters and…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"A particular right square-based pyramid has a volume of 63,960 cubic meters and a height of 30 meters. What is the number of meters in the length of the lateral height ($\\\\overline{AB}$) of the pyramid? Express your answer to the nearest whole number.\\n\\n[asy]\\ndraw((-8,0)--(0,20)--(8,0)--cycle);\\ndraw((8,0)--(11,4.5)--(0,20));\\ndraw((9.5,2.3)--(0,20));\\n//draw((9,3.3)--(9.7,4.3)--(10.6,3.1));\\ndot((9.5,2.3));\\nlabel(\\\"$B$\\\",(9.5,2.3),SE);\\nlabel(\\\"$A$\\\",(0,20),N);\\ndraw(rightanglemark((0,20),(9.5,2.3),(11,4.5),25));\\ndot((0,20));\\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":[]}