[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-297425-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-297425-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","pyramid-and-cones-gcse-maths-notes","Pyramid and Cones - GCSE Maths - Notes","","Pyramid and Cones - GCSE Maths notes introduce two key 3D solids used in mathematics and everyday contexts. It explains what a cone is, detailing base, apex, height, slant height and radius, then defines a pyramid with its polygonal base, triangular faces, edges, height and slant height. The guide covers volume for both cones and pyramids using the relevant formulae, followed by worked examples calculating numeric results. It then outlines surface area concepts and cone surface area components.",{"@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/pyramid-and-cones-gcse-maths-notes/297425/",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/pyramid-and-cones-gcse-maths-notes/297425.png","ImageObject",300,407,{"name":42,"@type":43},"Emma Mercer","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-26","2026-09-18",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",13,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the key features of a cone used in GCSE volume questions?","Question",{"text":63,"@type":64},"A cone has a circular base, a single apex, height h (perpendicular distance), slant height l, and radius r (distance from the center of the base to its edge). These values are used directly in the cone volume formula.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you find the volume of a pyramid?",{"text":68,"@type":64},"Use the pyramid volume formula Volume = (1/3) × Base Area × vertical height. First calculate the base area from the base shape, then measure the height h and substitute into the formula.",{"name":70,"@type":61,"acceptedAnswer":71},"What is included when calculating surface area for cones and pyramids?",{"text":72,"@type":64},"Surface area is the total area covering all faces, bases, and curved sides of a 3D object. For a cone, this includes base area (πr²) and lateral area (πrℓ), added together to get the total surface area.","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},297425,1789744404,{"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":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":80,"read_time":145},962084925502,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","[For more Topics Visit](For more Topics Visit myexamrevision.com)[ ](For more Topics Visit myexamrevision.com)[myexamrevision.com](For more Topics Visit myexamrevision.com)  \nPyramid and Cones – GCSE Maths  \nCONTENTS:  \n1. Introduction  \n2. What is a Cone?  \n3. What is a Pyramid?  \n4. How to Find the Volume of Cones and Pyramids?  \n5. How to Find the Surface Area of Cones and Pyramids?  \n1. Introduction  \n Cones and Pyramids are three-dimensional (3D) geometric shapes that play essential role in mathematics, architecture, engineering, and everyday life.  \n Both shapes have a base and an apex, but they differ in structure and properties.  \n Real life Examples:  \n[For more Topics Visit](For more Topics Visit myexamrevision.com)[ ](For more Topics Visit myexamrevision.com)[myexamrevision.com](For more Topics Visit myexamrevision.com)  \nPyramid and Cones – GCSE Maths  \n2. What is a Cone?  \n A cone is a solid figure with a circular base that curves upward to meet at a single vertex, forming a pointed tip.  \n Key Features of a Cone:  \n Base-A circular flat surface.  \n Apex-The pointed top where all the sides meet.  \n Height (h) -The perpendicular distance from the base to the apex.  \n Slant Height (l) -The distance from the apex to any point on the edge of the base.  \n Radius (r) -The distance from the center of the base to its edge.  \nApex  \nSlant Height  \nBase  \n[For more Topics Visit](For more Topics Visit myexamrevision.com)[ ](For more Topics Visit myexamrevision.com)[myexamrevision.com](For more Topics Visit myexamrevision.com)  \nPyramid and Cones – GCSE Maths  \n3.What is a Pyramid?  \n A Pyramid is a three-dimensional geometric shape with a polygonal base and triangular faces that meet at a common point called the apex.  \n Key Features of a Pyramid:  \n Base – A polygon (e.g., triangle, square, pentagon, etc. ) .  \n Apex – The topmost point where all triangular faces meet.  \n Faces – Triangular sides connecting the base to the apex.  \n Edges – The line segments where two faces meet.  \n Height (h)–The perpendicular distance from the base to the apex.  \n Slant Height (l)–The height of a triangular face from the base to the apex.  \nApex  \nSlant Height  \n~~ ~~~~ ~~ Base  \n[For more Topics Visit](For more Topics Visit myexamrevision.com)[ ](For more Topics Visit myexamrevision.com)[myexamrevision.com](For more Topics Visit myexamrevision.com)  \nPyramid and Cones – GCSE Maths  \n4. How to Find the Volume of Cones and Pyramids?  \n Volume is the amount of space occupied by an object.  \nVolume of a Cone:  \n A cone has a circular base and tapers to apex.  \n The formula for its volume is:  \nVolume = 13~~ ~~ x Base Area x Vertical height Volume = 13~~ ~~ x πr2 x h  \nWhere,  \n r = Radius of the base  \n h = Height (perpendicular distance from the base to the apex)  \n π ≈ 3 .1416 (pi)  \nSteps to Calculate Volume:  \nStep\\#1: Measure the radius (r) of the circular base.  \nStep\\#2: Measure the height (h) of the cone.  \nStep\\#3: Plug the values into the formula:  \nStep\\#4: Compute the result.  \n[For more Topics Visit](For more Topics Visit myexamrevision.com)[ ](For more Topics Visit myexamrevision.com)[myexamrevision.com](For more Topics Visit myexamrevision.com)  \nPyramid and Cones – GCSE Maths  \nVolume of a Pyramid:  \n A Pyramid has a polygonal base (e.g., square, triangle) and triangular faces that meet at an apex.  \n The formula for its volume is:  \nVolume = 13~~ ~~ x Base Area x Vertical height Volume = 13~~ ~~ x B x h  \nWhere,  \n B = Area of the base  \n h = Height (perpendicular distance from the base to the apex)  \nSteps to Calculate Volume:  \nStep\\#1: Find the area (B) of the base (depends on the base shape):  \n Square base: B= side2  \n Rectangular base: B= length × width  \n Triangular base: B= ~~ ~~12~~ ~~ × base × height  \nStep\\#2: Measure the height (h) of the pyramid.  \nStep\\#3: Plug the values into the formula:  \nVolume = ~~ ~~13 x B x h  \nStep\\#4: Compute the result.  \n[For more Topics Visit](For more Topics Visit myexamrevision.com","cbCaioyPDjfmOue5","https://ap.wps.com/l/cbCaioyPDjfmOue5","pdf",895603,11,"English","# Contents\n## Introduction\n## What is a Cone?\n## What is a Pyramid?\n## How to Find the Volume of Cones and Pyramids?\n## How to Find the Surface Area of Cones and Pyramids?\n## Solved Examples","[{\"question\":\"What are the key features of a cone used in GCSE volume questions?\",\"answer\":\"A cone has a circular base, a single apex, height h (perpendicular distance), slant height l, and radius r (distance from the center of the base to its edge). These values are used directly in the cone volume formula.\"},{\"question\":\"How do you find the volume of a pyramid?\",\"answer\":\"Use the pyramid volume formula Volume = (1/3) × Base Area × vertical height. First calculate the base area from the base shape, then measure the height h and substitute into the formula.\"},{\"question\":\"What is included when calculating surface area for cones and pyramids?\",\"answer\":\"Surface area is the total area covering all faces, bases, and curved sides of a 3D object. For a cone, this includes base area (πr²) and lateral area (πrℓ), added together to get the total surface area.\"}]","Pyramid and Cones - GCSE Maths - Notes | PDF",28]