{"id":4576,"date":"2012-10-26T00:05:27","date_gmt":"2012-10-26T00:05:27","guid":{"rendered":"http:\/\/SchoolTutoring.com\/help\/?p=4576"},"modified":"2014-12-02T08:31:58","modified_gmt":"2014-12-02T08:31:58","slug":"introduction-to-three-dimensional-shapes","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/introduction-to-three-dimensional-shapes\/","title":{"rendered":"Introduction to Three Dimensional Shapes"},"content":{"rendered":"

Dimension<\/em><\/strong> is a property of shapes which tells whether the shape has the height (or depth).<\/p>\n

A three dimensional shape also called as a solid<\/em><\/strong> shape<\/em><\/strong> is a shape which has 3 measurements length, breadth and height. They look different by observing them from different places and different angles. But where as 2d- shapes have only two measurements length and breadth.<\/p>\n

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We have different three dimensional shapes.<\/p>\n

A polyhedron<\/em><\/strong> is a 3D-shape whose faces are polygons where as a non-polyhedron contains no polygon shaped faces. Examples of polyhedrons can be cubes, cuboids, pyramids and prisms etc.<\/p>\n

Polygonal<\/em><\/strong> faces<\/em><\/strong> are the regions by which the polyhedron is bounded. For example, the polygonal faces of the cube are the squares.<\/p>\n

An edge<\/em><\/strong> of a polyhedron is a line segment where any two of its faces meet.<\/p>\n

Note: <\/strong>F+V = E+2 is a formula called Euler\u2019s formula<\/em><\/strong> where F,V and E represents the number of faces, vertices and edges respectively.<\/p>\n

A regular<\/em><\/strong> polyhedron<\/em><\/strong> is a polyhedron whose faces are congruent to each other. Otherwise it is said to be irregular polyhedron. An example for a regular polyhedron is a cube because it has all congruent faces(squares).<\/p>\n

A convex<\/em><\/strong> polyhedron<\/em><\/strong> is a polyhedron where the line segment joining any two points on it lies completely in it.<\/p>\n

A concave<\/em><\/strong> polyhedron<\/em><\/strong> is a polyhedron in which the plane sections are concave.<\/p>\n

A prism<\/em><\/strong> is a polyhedron where two of its bases are parallel and the side faces are parallelograms.<\/p>\n

A pyramid<\/em><\/strong> is a polyhedron where the base is a polygon and the side faces are triangles with a common vertex.<\/p>\n

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Dimension is a property of shapes which tells whether the shape has the height (or depth). A three dimensional shape also called as a solid shape is a shape which has 3 measurements length, breadth and height. They look different by observing them from different places and different angles. But where as 2d- shapes have […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[10],"tags":[215,438,764,987,1025,1358,1390,1450,1516,1833],"class_list":["post-4576","post","type-post","status-publish","format-standard","hentry","category-geometry","tag-breadth","tag-cube","tag-height","tag-irregular","tag-length","tag-polyhedron","tag-prism","tag-pyramid","tag-regular","tag-three-dimension"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4576","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=4576"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/4576\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=4576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=4576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=4576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}