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Ends with practice questions requiring scaled front, side, and plan views and related worked solutions.",{"@graph":14,"@context":71},[15,34,54],{"@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/plans-and-elevations-notes/649670/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":48,"encodingFormat":47,"isAccessibleForFree":49,"interactionStatistic":50},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/plans-and-elevations-notes/649670.png","ImageObject",300,407,{"name":42,"@type":43},"SANS","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-24",true,{"@type":51,"interactionType":52,"userInteractionCount":4},"InteractionCounter",{"@type":53},"ViewAction",{"@type":55,"mainEntity":56},"FAQPage",[57,63,67],{"name":58,"@type":59,"acceptedAnswer":60},"What is the difference between a plan and an elevation?","Question",{"text":61,"@type":62},"A plan shows the view from the top of a 3D shape, like a “bird’s eye view.” An elevation shows the view from the side or front, so you may draw a front or side elevation.","Answer",{"name":64,"@type":59,"acceptedAnswer":65},"Why must plan and elevation drawings be drawn to scale?",{"text":66,"@type":62},"The drawings are to scale so the 2D views match the same measurements as the original 3D solid. The notes stress that the plan view and elevation drawings must maintain the given scale.",{"name":68,"@type":59,"acceptedAnswer":69},"How can you construct a 3D shape from plan and elevation drawings?",{"text":70,"@type":62},"Use the given 2D drawings to visualise each viewpoint while maintaining the same scale. After constructing the 3D solid, check correctness by drawing the corresponding plan and elevation and ensuring they match the original 2D diagrams.","https://schema.org",{"og:url":32,"og:type":73,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":75,"canonical":32},"index,follow",{"doc_id":77,"site_id":7},649670,1792803441,{"code":4,"msg":80,"data":81},"success",[82,86,90,93,98,103,108,113,118,121,125],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":83,"show_sort_weight":84,"slug":85},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":87,"show_sort_weight":88,"slug":89},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":91,"slug":92},70,"exam",{"id":94,"doc_module":4,"doc_module_name":25,"category_name":95,"show_sort_weight":96,"slug":97},5,"Comic",60,"comic",{"id":99,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},6,"Technology",50,"technology",{"id":104,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},7,"Healthcare",40,"healthcare",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},8,"Research & Report",30,"research-report",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},9,"Religion & Spirituality",20,"religion-spirituality",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":119,"show_sort_weight":116,"slug":120},"World Cup","world-cup",{"id":122,"doc_module":4,"doc_module_name":25,"category_name":123,"show_sort_weight":122,"slug":124},10,"Lifestyle","lifestyle",{"id":126,"doc_module":4,"doc_module_name":25,"category_name":127,"show_sort_weight":94,"slug":128},19,"General","general",{"code":4,"msg":80,"data":130},{"doc_id":77,"user_id":131,"nickname":42,"user_avatar":132,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":4,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":94,"language":138,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":12,"update_tm":78,"read_time":142},962090760505,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","GCSE Maths – Geometry and Measures  \nPlans and Elevations  \nNotes  \nWORKSHEET  \nPlans and Elevations  \nPlans and elevations are 2D drawings which show different views of a 3 D shape. The 2D drawings are to scale. This means plans and elevations are used in industries such as product design and architecture.  \nPlans  \nA plan is the view of the 3D shape from the top. It can be thought of as the ‘bird’s eye view’. The scale of the drawing must be the same scale of the 3D solid, unless stated otherwise.  \nExample: Draw the plan of the following cylinder  \nIf we viewed this cylinder from a ‘birds eye view’, i.e. from the top, we would see acircle with a diameter of 2.4 􀜿􀝉:  \nIt is important that the scale of the plan view matches the scale of the given 3D shape.  \nElevations  \nAn elevation is a view of the 3D solid from the side or front. This means you could be asked to draw the front elevation or the side elevation. Arrows will usually be used to specify which side of the shape is the front. As with plan drawings, the drawings must be to scale.  \n\n| Example: Sketch the plan, side elevation and front elevation of the following shape\u003Cbr>|  |\n| --- | --- |\n| Plan: Looking down onto the top, we would only see the grey shaded squares. Even if we do not know the scale, we can still sketch the number of squares.\u003Cbr>Side Elevation: From the specified side view, we would see a\u003Cbr>4 x 2 rectangle with an extra square on the right.\u003Cbr>Front Elevation: From the specified front view, we would only see a 3 x 2 rectangle and a square on the top right. | |\n\nAs well as being able to draw the 2D plan and elevation drawings from a 3D shape, it is also possible to construct the 3D shape from given plan and elevation drawings.  \nTo do this, use the given 2D drawings to visualise each different viewpoint, not forgetting to maintain the same scale. Once you’ve constructed the 3 D shape, you can check it is correct by drawing the plan and elevation drawings. These should match the 2D drawings which you started with.  \nExample: Below is a sketch of the plan, side elevation and front elevation for a 3D shape. Draw the corresponding 3D shape.  \n• From the plan view we can deduce that from the top the shape looks like acircle with a radius of 1.  \n• The front elevation and side elevation are the same. Each are a triangle with base 2 and height of 3. This suggests that the 3D solid is a cone, with height 3 and radius 1.  \nTherefore, we draw a cone with height 3 (3 big squares high) and radius 1 (1 big square across):  \nPlans and Elevations – Practice Questions  \n1. Draw the plan, side elevation and front elevation for each solid to the correct scale.  \na) b)  \n2. Draw the plan, side elevation and front elevation for the following solid to the correct scale, where 􀝎 = 2 cm and ℎ = 4 cm.  \n3. The image below shows the front elevation, side elevation and plan respectively. Draw the 3D solid to the correct scale.  \nWorked solutions for the practice questions can be found amongst the worked solutions for the  \ncorresponding worksheet file.","cbCaijAqzvZbPw5z","https://ap.wps.com/l/cbCaijAqzvZbPw5z","pdf",656572,"English","# Plans and Elevations\n## Key ideas: scale and 2D views\n## Plans\n## Elevations\n## Constructing 3D shapes from drawings\n## Practice questions","[{\"question\":\"What is the difference between a plan and an elevation?\",\"answer\":\"A plan shows the view from the top of a 3D shape, like a “bird’s eye view.” An elevation shows the view from the side or front, so you may draw a front or side elevation.\"},{\"question\":\"Why must plan and elevation drawings be drawn to scale?\",\"answer\":\"The drawings are to scale so the 2D views match the same measurements as the original 3D solid. The notes stress that the plan view and elevation drawings must maintain the given scale.\"},{\"question\":\"How can you construct a 3D shape from plan and elevation drawings?\",\"answer\":\"Use the given 2D drawings to visualise each viewpoint while maintaining the same scale. After constructing the 3D solid, check correctness by drawing the corresponding plan and elevation and ensuring they match the original 2D diagrams.\"}]","Plans and Elevations - Notes | PDF",13]