[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-663278-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-663278-en":130},{"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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","engineering-drawing-lecture-10-projection-of-solids-solids","Engineering Drawing - Lecture 10 - Projection of Solids - Solids","","Lecture 10 on Projection of Solids explains 3-D objects by defining solids as bodies bounded by plane or curved surfaces and classifying them into polyhedra and solids of revolution. It details regular polyhedra including tetrahedron, cube/hexahedron, octahedron, dodecahedron, and icosahedron, then outlines other polyhedra such as prisms and pyramids with types like right and oblique. The lecture also covers generation of solids via revolution and introduces visibility rules for orthographic views using full and dashed lines to represent visible and hidden edges.",{"@graph":14,"@context":72},[15,34,55],{"@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/technology/","Technology",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/engineering-drawing-lecture-10-projection-of-solids-solids/663278/",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/engineering-drawing-lecture-10-projection-of-solids-solids/663278.png","ImageObject",300,407,{"name":42,"@type":43},"The weather in my hometown","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-28",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How are solids classified in this lecture?","Question",{"text":62,"@type":63},"Solids are classified under two main headings: polyhedron and solids of revolution.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What makes a regular polyhedron different from other polyhedra?",{"text":67,"@type":63},"A regular polyhedron is bounded only by plane faces formed by regular polygons of the same size, with equal dihedral angles. Other polyhedra have faces that are not formed by equal identical faces and may be classified into prisms and pyramids.",{"name":69,"@type":60,"acceptedAnswer":70},"What visibility rules are used in orthographic views?",{"text":71,"@type":63},"All outlines are shown by full lines. Hidden details are represented using dashed lines, and the highest portions are visible in the top view while lower or slant edges may be treated as invisible and drawn with dashes.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},663278,1793226188,{"code":4,"msg":81,"data":82},"success",[83,87,91,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":92,"show_sort_weight":93,"slug":94},"Exam",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":29,"show_sort_weight":102,"slug":103},6,50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":101,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"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":79,"read_time":144},1374408744247,"https://ap-avatar.wpscdn.com/avatar/14001251d37d565ec6f?x-image-process=image/resize,m_fixed,w_180,h_180&k=1790672120290115972","Engineering Drawing  \nLecture 10  \nProjection of Solids  \n1  \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/hexahedron – six equal square faces  \nOctahedron– eight equal equilateral triangular 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.  \nthe 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 –  \nrevolved 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 or frustum of these solids.  \nVisibility – when drawing the orthographic views of an  \nobject, 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.  \nFrustum 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 an d ea are shown as full lines. The bottom pentagonal faces A1 B 1 C 1 D 1 E 1 is smaller than the top face, hence invisible.  \nThe slant edges AA1 , BB 1 , CC 1 , DD 1 and EE 1 are invisible in the top view, hence they are 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.","cbCaioL8I4wgjiF1","https://ap.wps.com/l/cbCaioL8I4wgjiF1","pdf",12610192,221,"English","# Engineering Drawing\n## Lecture 10\n## Projection of Solids\n### Solids\n### Polyhedra\n### Solids of Revolution\n### Visibility and Orthographic Views","[{\"question\":\"How are solids classified in this lecture?\",\"answer\":\"Solids are classified under two main headings: polyhedron and solids of revolution.\"},{\"question\":\"What makes a regular polyhedron different from other polyhedra?\",\"answer\":\"A regular polyhedron is bounded only by plane faces formed by regular polygons of the same size, with equal dihedral angles. Other polyhedra have faces that are not formed by equal identical faces and may be classified into prisms and pyramids.\"},{\"question\":\"What visibility rules are used in orthographic views?\",\"answer\":\"All outlines are shown by full lines. Hidden details are represented using dashed lines, and the highest portions are visible in the top view while lower or slant edges may be treated as invisible and drawn with dashes.\"}]","Engineering Drawing - Lecture 10 - Projection of Solids - Solids | PDF",557]