[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-665186-105":59,"doc-detail-665186-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","projection-of-solids-lecture-10","Projection of Solids - Lecture 10","","Engineering drawing lecture focused on the geometry and classification of 3D solids, explaining polyhedra, solids of revolution, prisms, pyramids, and the five regular polyhedra. The lecture derives how rotating plane figures generates cylinder, cone, sphere, and oblique forms, and covers truncated shapes created by cutting prisms, pyramids, or revolved solids. It also introduces visibility rules for orthographic projections, including the use of full lines for visible outlines and dashed lines for hidden edges and details.",{"@graph":69,"@context":122},[70,84,105],{"@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":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/projection-of-solids-lecture-10/665186/",{"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/projection-of-solids-lecture-10/665186.png","ImageObject",300,407,{"name":92,"@type":93},"Damian","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does “solids” mean in the lecture context?","Question",{"text":112,"@type":113},"A solid is a 3D object with length, breadth, and thickness, bounded by plane or curved surfaces (or a combination).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are cylinders, cones, and spheres generated in solids of revolution?",{"text":117,"@type":113},"A cylinder is formed by revolving a rectangle about one of its sides, a cone by revolving a right triangle about one of its sides (the hypotenuse generates the cone), and a sphere by revolving a semi-circle about its diameter.",{"name":119,"@type":110,"acceptedAnswer":120},"When should dashed lines be used in orthographic views?",{"text":121,"@type":113},"Dashed lines represent hidden details—hidden edges and invisible points in the orthographic views—while outlines of visible features are drawn with full lines.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},665186,1793292386,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":36,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":143},137451208677,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","ME 111: Engineering Drawing  \nLecture 10  \n29.08.2011  \nProjection of Solids  \nIndian Institute of Technology Guwahati  \nGuwahati – 781039  \nSolids  \nA 3-D object having length , breadth and thickness and bounded by surfaces which may be either plane or curved , or combination of the two.  \n􀀁 Classified under two main headings  \n􀀁 Polyhedron  \n􀀁 Solids of revolution  \n􀀁 Regular polyhedron – solid bounded only by plane surfaces (faces) . Its faces are formed by regular polygons of same size and all dihedral angles are equal to one another.  \n􀀁 Other polyhedra – when faces of a polyhedron are not formed by equal identical faces , they may be classified into prisms and pyramids.  \nFive regular polyhedra  \nTetrahedron – four equal equilateral triangular faces  \nCube/hexahed ron – six equal square faces  \nOctahedron– eight equilateral triangular  \nequal faces  \nDodecahedron – twelve equal regular pentagonal faces  \nIcosahedron– twenty equal equilateral triangular faces  \nPrism – a polyhedron formed by two equal parallel regular polygon , end faces connected by side faces which are either rectangles or parallelograms.  \nDifferent types of prisms  \nPyramids – a polyhedron formed by a plane surface as its base and a number of triangles as its side faces , all meeting at a point, called vertex or apex.  \nAxis – the imaginary line connecting the apex and the center of the base.  \nInclined/slant faces – inclined triangular side faces.  \nInclined/slant/longer edges – the edges which connect the apex and the base corners.  \nRight pyramid – when the axis of the pyramid is perpendicular to its base.  \nOblique pyramid – when the axis of the pyramid is inclined to its base.  \nTriangular pyramid  \nPentagonal pyramid  \nSquare pyramid  \nHexagonal pyramid  \nRectangular pyramid  \nOblique pyramid  \nSolids of revolution – when some of the plane figures are revolved about one of their sides – solids of revolution is generated.  \nCylinder – when a rectangle is revolved about one of its sides , the other parallel side generates a cylinder.  \nCone – when a right triangle is revolved about one of its sides , the hypotenuse of the right triangle generates a cone.  \nSphere – when a semi-circle is revolved about one of its diameter, a sphere is generated..  \nOblique cylinder –  \nwhen a parallelogram is revolved about one of its sides, the other parallel side generates a cylinder.  \nOblique cone  \nTruncated and frustums of solids – when prisms , pyramids , cylinders are cut by cutting planes , the lower portion of the solids (without their top portions) are called , either truncated orf rust um of these solids.  \nVisibility – when drawing the orthographic views of an object , it will be required to show some of the hidden details  \nas invisible and are shown on the orthographic views by dashed lines  \nRules of visibility  \nAll outlines of every view are visible – the outlines of all the views are shown by full lines .  \nIn the top view, the highest portions of the object are visible.  \nFrust um of a pentagonal pyramid – the top face ABCDE is the highest , it is completely visible in the top view.  \n In the top view, edges ab, bc, cd, de and ea are shown as full lines. The bottom pentagonal faces A 1 B 1 C 1 D 1 E 1 is smaller than the top face, hence invisible.  \nThe slant edges AA1 , BB1 , CC1 , DD1 and EE1 are invisible in the top view, hence they  \nare shown as lines of dashes.  \nThe line connecting a visible point and an invisible point is shown as an invisible line of dashes unless they are outlines.","cbCaikwAT0MhHam3","https://ap.wps.com/l/cbCaikwAT0MhHam3","pdf",3285275,"English","# Solids\n## Classification: Polyhedron and Solids of Revolution\n# Regular Polyhedra and Derived Shapes\n## Five Regular Polyhedra\n## Prisms and Pyramids\n## Solids of Revolution: Cylinder, Cone, Sphere, Oblique Forms\n## Truncated and Frustums\n# Visibility in Orthographic Views\n## Rules of Visibility for Hidden Details","[{\"question\":\"What does “solids” mean in the lecture context?\",\"answer\":\"A solid is a 3D object with length, breadth, and thickness, bounded by plane or curved surfaces (or a combination).\"},{\"question\":\"How are cylinders, cones, and spheres generated in solids of revolution?\",\"answer\":\"A cylinder is formed by revolving a rectangle about one of its sides, a cone by revolving a right triangle about one of its sides (the hypotenuse generates the cone), and a sphere by revolving a semi-circle about its diameter.\"},{\"question\":\"When should dashed lines be used in orthographic views?\",\"answer\":\"Dashed lines represent hidden details—hidden edges and invisible points in the orthographic views—while outlines of visible features are drawn with full lines.\"}]","Projection of Solids - Lecture 10 | PDF",101]