[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-297511-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-297511-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","surface-areas-and-volumes-section-3-mathematics","SURFACE AREAS AND VOLUMES - Section 3 - Mathematics","","Class X Mathematics material focused on surface areas and volumes of common solids. It lists formulas for cube, cuboid, cylinder, sphere, hemisphere, cone, and frustum of cone, including both curved and total surface areas where applicable. The document presents expressions for volume for each shape using parameters such as side length, length-width-height, radius, and height, serving as a quick reference for solving geometry problems.",{"@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/surface-areas-and-volumes-section-3-mathematics/297511/",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/surface-areas-and-volumes-section-3-mathematics/297511.png","ImageObject",300,407,{"name":42,"@type":43},"Ava Thompson","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-18",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What formulas are provided for the cube?","Question",{"text":63,"@type":64},"The cube section gives the surface area as 6a² and the volume as a³.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which surface area formulas are listed for a cylinder?",{"text":68,"@type":64},"For the cylinder, it provides the curved surface area (CSA) 2πrh and the total surface area (TSA) 2πrh + 2πr².",{"name":70,"@type":61,"acceptedAnswer":71},"What are the key parameters used in volume formulas?",{"text":72,"@type":64},"The volume formulas use variables such as a for cube side, l, b, h for cuboid dimensions, r and h for cylinder, r for sphere and hemisphere, and r, l, h combinations for cone and frustum of cone.","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},297511,1790457427,{"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":26,"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":144,"read_time":96},1649267921044,"https://us-avatar.wpscdn.com/avatar/1800007509477c92dfb?_k=1786009248482753345","Class-XSubject-Mathematics  \nSURFACE AREAS AND VOLUMES  \n1.  Cube :-  \nSurface Area of Cube = 6a2 Volume of Cube = a3  \n2.  Cuboid :-  \nSurface Area of Cuboid= 2(lb+bh+lh) Volume of Cuboid= lXbXh  \n3.  Cylinder :-  \nCurve Surface Area (CSA) of Cylinder = 2􀣊rh  \nTotal Surface Area (TSA) of Cylinder = 2􀣊rh+2􀣊r2 = 2􀣊r(h+r) Volume of Cylinder = 􀣊r2h  \n4.  Sphere :-  \nSurface Area of Sphere = 4􀣊r2 Volume of Sphere = 􀫝􀫜􀣊r3  \nLearn What You Can Serve (सीखो वह जो दूसरों को ससखा सको)Mob. No-8512031386 [P a g e](P a g e | 1Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[ |](P a g e | 1Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[ 1](P a g e | 1Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[Worked by: Anurag Tiwari](P a g e | 1Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[www.Mycbsencertguide.weebly.com](P a g e | 1Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)  \nClass-XSubject-Mathematics  \n5.  Hemisphere :-  \nCurve Surface Area (CSA) of Hemisphere = 2􀣊r2  \nTotal Surface Area (TSA) of Hemisphere = 2􀣊r2 +􀣊r2 =3􀣊r2 Volume of Hemisphere = 􀫛􀫜􀣊r3  \n6.  Cone :-  \nCurve Surface Area (CSA) of cone = 􀣊rl  \nTotal Surface Area (TSA) of cone = 􀣊rl+􀣊r2 = 􀣊r(l+r) Volume of Cone = 􀫚􀫜􀣊r2h  \n7.  Frustum of Cone :-  \nVolume of Frustum of Cone = 􀫚􀫜􀣊h(r2 1 + r 1r2 +r2 2)  \nCurve Surface Area (CSA) of Frustum of Cone = (r1 +r2)l  \nTotal Surface Area (TSA) of Frustum of Cone = (r1 +r2) l+ 􀣊 r21 + 􀣊 r22  \nLearn What You Can Serve (सीखो वह जो दूसरों को ससखा सको)Mob. No-8512031386 [P a g e](P a g e | 2Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[ |](P a g e | 2Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[ 2](P a g e | 2Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[Worked by: Anurag Tiwari](P a g e | 2Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)[www.Mycbsencertguide.weebly.com](P a g e | 2Worked by: Anurag Tiwariwww.Mycbsencertguide.weebly.com)","cbCaip55550nPHqW","https://ap.wps.com/l/cbCaip55550nPHqW","pdf",693137,"English","# SURFACE AREAS AND VOLUMES\n## Cube\n## Cuboid\n## Cylinder\n## Sphere\n## Hemisphere\n## Cone\n## Frustum of Cone","[{\"question\":\"What formulas are provided for the cube?\",\"answer\":\"The cube section gives the surface area as 6a² and the volume as a³.\"},{\"question\":\"Which surface area formulas are listed for a cylinder?\",\"answer\":\"For the cylinder, it provides the curved surface area (CSA) 2πrh and the total surface area (TSA) 2πrh + 2πr².\"},{\"question\":\"What are the key parameters used in volume formulas?\",\"answer\":\"The volume formulas use variables such as a for cube side, l, b, h for cuboid dimensions, r and h for cylinder, r for sphere and hemisphere, and r, l, h combinations for cone and frustum of cone.\"}]","SURFACE AREAS AND VOLUMES - Section 3 - Mathematics | PDF",1789745230]