[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-274439-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-274439-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","geometry-next-gen-reference-sheet-geometry-formulas","Geometry Next-Gen Reference Sheet - Geometry formulas","","A concise geometry reference sheet presenting key surface area and volume formulas for multiple 3D solids. It includes cylinder, general prism, sphere, cone, and pyramid entries, specifying relationships using variables for base area and height. The cylinder and prism items express volume in terms of the base area multiplied by height, while the sphere provides a constant-coefficient expression involving π. The cone and pyramid sections use one-third of the base area times height, enabling rapid lookups during problem solving and review.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/geometry-next-gen-reference-sheet-geometry-formulas/274439/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/geometry-next-gen-reference-sheet-geometry-formulas/274439.png","ImageObject",300,407,{"name":42,"@type":43},"Aran","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-15",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",16,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What formula does the sheet provide for a cylinder?","Question",{"text":63,"@type":64},"The cylinder volume is given as base area times height, using the sheet’s variable notation.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How is volume for a cone and a pyramid expressed?",{"text":68,"@type":64},"Both are expressed as one-third of the base area multiplied by the height.",{"name":70,"@type":61,"acceptedAnswer":71},"What does the sphere entry include?",{"text":72,"@type":64},"The sphere entry provides a formula in terms of π with a coefficient and the radius cubed, matching the sheet’s notation.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},274439,1789477294,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":30},137455076865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Reference Sheet for Geometry (NGLS)  \n\n| Volume | Cylinder | 􀜸 = 􀜤ℎ\u003Cbr>where 􀜤 is the area of the base |\n| --- | --- | --- |\n|  | General Prism | 􀜸 = 􀜤ℎ\u003Cbr>where 􀜤 is the area of the base |\n|  | Sphere | 􀜸 = 43􀟨􀝎3 |\n|  | Cone | 􀜸 = 13 􀜤ℎ\u003Cbr>where 􀜤 is the area of the base |\n|  | Pyramid | 􀜸 = 13 􀜤ℎ\u003Cbr>where 􀜤 is the area of the base |","cbCailgHW6P9xqCN","https://ap.wps.com/l/cbCailgHW6P9xqCN","pdf",850965,"English","# Cylinder\n## General Prism\n## Sphere\n## Cone\n## Pyramid","[{\"question\":\"What formula does the sheet provide for a cylinder?\",\"answer\":\"The cylinder volume is given as base area times height, using the sheet’s variable notation.\"},{\"question\":\"How is volume for a cone and a pyramid expressed?\",\"answer\":\"Both are expressed as one-third of the base area multiplied by the height.\"},{\"question\":\"What does the sphere entry include?\",\"answer\":\"The sphere entry provides a formula in terms of π with a coefficient and the radius cubed, matching the sheet’s notation.\"}]","Geometry Next-Gen Reference Sheet - Geometry formulas | PDF"]