[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297469-105":59,"doc-detail-297469-en":123},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":116,"head_meta":118,"extra_data":120,"updated_unix":122},105,"en","surface-areas-and-volumes-cube-cuboid-cylinder-cone-sphere-hemisphere-frustum-of-cone","Surface Areas and Volumes - Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere, Frustum of cone","","Surface Areas and Volumes for common 3D solids is presented with formula-based geometry notes from a tuition centre. The sheet lists total surface area, curved surface area, volume, diagonals and slant heights for shapes including cube, cuboid, cylinder, cone, sphere and hemisphere. It also covers frustum of a cone relations and includes a regular polygon section with diagonals, exterior and interior angles, perimeter and area, supporting problem solving for measurements and composite geometry.",{"@graph":69,"@context":115},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/surface-areas-and-volumes-cube-cuboid-cylinder-cone-sphere-hemisphere-frustum-of-cone/297469/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/surface-areas-and-volumes-cube-cuboid-cylinder-cone-sphere-hemisphere-frustum-of-cone/297469.png","ImageObject",300,407,{"name":92,"@type":93},"Lute","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109],{"name":110,"@type":111,"acceptedAnswer":112},"Does the sheet include curved surface and slant height for cylinders and cones?","Question",{"text":113,"@type":114},"Yes. The cylinder section includes T.S.A, C.S.A and volume, and the cone section includes T.S.A, C.S.A, volume and slant height along with related expressions.","Answer","https://schema.org",{"og:url":83,"og:type":117,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":119,"canonical":83},"index,follow",{"doc_id":121,"site_id":62},297469,1789744822,{"code":4,"msg":5,"data":124},{"doc_id":121,"user_id":125,"nickname":92,"user_avatar":126,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":127,"file_id":128,"file_url":129,"file_type":130,"file_size":131,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":132,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":133,"faqs":134,"seo_title":135,"seo_description":67,"update_tm":122,"read_time":24},137454149569,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","| Gayathri Tuition Centre – Omalur\u003Cbr>Surface Areas and Volumes |  |  |\n| --- | --- | --- |\n| |  |  |\n| Cube :\u003Cbr>􀁸 T. S.A = 6a2\u003Cbr>􀁸 C. S.A = 4a2\u003Cbr>􀁸 Volume = a3\u003Cbr>\u003Cbr>􀁸 Diagonal = a 3 | a a \u003Cbr>a |  |\n| Cuboid :\u003Cbr>􀁸 T.S.A = 2(􀝈􀜾 + 􀜾ℎ + ℎ􀝈)\u003Cbr>􀁸 C.S.A = 2(􀝈 + 􀜾) ℎ\u003Cbr>􀁸 Volume = 􀝈 􀝔 􀜾 􀝔 ℎ\u003Cbr>􀁸 Diagonal = 􀝈 2 + 􀜾 2 + ℎ 2 |  | \u003Cbr>\u003Cbr>􀝈 |\n| Cylinder :\u003Cbr>􀁸 T.S.A = 2􀟨􀝎 (ℎ + 􀝎)\u003Cbr>􀁸 C. S.A = 2􀟨􀝎h\u003Cbr>􀁸 Volume = 􀟨􀝎2 h |  | \u003Cbr>􀜚 |\n| Cone :\u003Cbr>􀁸 T.S.A = 􀟨􀝎 (􀝈 + 􀝎)\u003Cbr>􀁸 C. S.A = 􀟨􀝎􀝈\u003Cbr>􀁸 Volume = 13 􀟨􀝎2 h\u003Cbr>􀁸 Slant height = 􀝎 2 + ℎ 2 |  | \u003Cbr>\u003Cbr>􀜚 |\n| T.S.A = Total Surface Area\u003Cbr>C.S.A = Curved Surface Area\u003Cbr>[www.gayathritutioncenter.blogspot.com](www.gayathritutioncenter.blogspot.com) |  |  |\n\n\n| Sphere :\u003Cbr>􀁸 T. S.A = 4􀟨􀝎2\u003Cbr>􀁸 C. S.A = 4􀟨􀝎2\u003Cbr>􀁸 Volume = 43 􀟨􀝎3 | |  |  |\n| --- | --- | --- | --- |\n| Hemisphere :\u003Cbr>􀁸 T. S.A = 3􀟨􀝎2\u003Cbr>􀁸 C. S.A = 2􀟨􀝎2\u003Cbr>􀁸 Volume = 23 􀟨􀝎3 | |  |  |\n| Frustum of cone :\u003Cbr>􀁸 T. S.A = 􀟨 { r 12 + r22 + 􀝈 (􀝎1 + 􀝎2 ) }\u003Cbr>􀁸 C.S.A = 􀟨􀝈 ( 􀝎1 + 􀝎2 )\u003Cbr>􀁸 Slant Height =  ℎ 2 + (􀝎1 − 􀝎2 ) 2\u003Cbr>􀁸 Volume = 13 􀟨ℎ ( r12 + r22 + 􀝎1 􀝎2 )\u003Cbr>􀁸 T. S.A of Bucket = 􀟨􀝈 (􀝎1 + 􀝎2 ) + 􀟨 r 12 |  |  | 􀢘 􀫛\u003Cbr>\u003Cbr>􀢘 􀫚 |\n| Regular Polygon :\u003Cbr>􀁸 No of diagonals = 􀯡~~ ~~(􀯡2−3)°\u003Cbr>􀁸 Each extrerior 􀝈 = ~~ ~~36􀯡0\u003Cbr>􀁸 Each Enterior = 180-exterior |  | 􀁸 Angle of R-poly = (􀯡2) × 180\u003Cbr>􀁸 Perimeter = n.a\u003Cbr>􀁸 Area = 􀯉~~ ~~􀯍􀯘􀯢􀯥~~ ~~􀯧􀯔􀯟􀯨􀯡􀯜~~ ~~􀯖􀯧􀯢􀯖􀯦􀯧􀯢􀯦􀯧 |  |\n| 􀁸 Length of carpet = 􀯉~~ ~~􀯍􀯘􀯢􀯥~~ ~~􀯧􀯔􀯟􀯨􀯡􀯜~~ ~~􀯖􀯧􀯢􀯖􀯦􀯧􀯢􀯦􀯧\u003Cbr>\u003Cbr>􀁸 Area of R-Hexagon = 6~~ ~~43 􀜽 2\u003Cbr>[www.gayathritutioncenter.blogspot.com](www.gayathritutioncenter.blogspot.com) |  |  |  |","cbCaiisThh0yyTjF","https://ap.wps.com/l/cbCaiisThh0yyTjF","pdf",603438,"English","# Cube\n## Cuboid\n## Cylinder\n## Cone\n## Sphere\n## Hemisphere\n## Frustum of cone\n## Regular Polygon","[{\"question\":\"Does the sheet include curved surface and slant height for cylinders and cones?\",\"answer\":\"Yes. The cylinder section includes T.S.A, C.S.A and volume, and the cone section includes T.S.A, C.S.A, volume and slant height along with related expressions.\"}]","Surface Areas and Volumes - Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere, Frustum of cone | PDF"]