{"id":260,"date":"2017-08-23T04:33:56","date_gmt":"2017-08-23T04:33:56","guid":{"rendered":"http:\/\/americanboard.org\/Subjects\/elementary-education\/?page_id=260"},"modified":"2017-09-25T20:57:46","modified_gmt":"2017-09-25T20:57:46","slug":"three-dimensional-figures-or-solids","status":"publish","type":"page","link":"https:\/\/americanboard.org\/Subjects\/elementary-education\/three-dimensional-figures-or-solids\/","title":{"rendered":"Three-Dimensional Figures, or Solids"},"content":{"rendered":"<div class=\"twelve columns\" style=\"margin-top: 10%;\">\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/transformations\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/geometry-measurement\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/proofs\">Next Lesson \u27a1<\/a><\/div>\n<p><!-- CONTENT BEGINS HERE --><\/p>\n<h1 id=\"title\">Three-Dimensional Figures, or Solids<\/h1>\n<h4>Objective<\/h4>\n<p>In the coming lesson, we&#8217;ll review the basic three-dimensional figures and some of their properties.<\/p>\n<h4>Previously Covered<\/h4>\n<ul>\n<li>In the section above, we discussed polygons and their properties. We also covered how figures can be transformed; that is, they can change location, or orientation while not changing in size or shape.<\/li>\n<\/ul>\n<section>\n<h3>Polyhedra<\/h3>\n<p>A <abbr title=\"A three-dimensional solid whose faces are polygons.\">polyhedron<\/abbr> is a three-dimensional solid, each face of which is a polygon. Each pair of faces meet at an edge. The corners of the edges meet at points called <abbr title=\"The corner points of a polygon (where two sides meet) or a polyhedron (where three or more of its faces meet).\">vertices<\/abbr>.<\/p>\n<table>\n<tbody>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/prismz.gif\" alt=\"Prism\" \/><\/td>\n<td>A <em>prism<\/em> is a polyhedron that has two parallel, congruent faces called <em>bases<\/em>. The other faces are parallelograms.<\/p>\n<p>This rectangular prism has six faces, twelve edges, and eight vertices.<\/td>\n<\/tr>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/cubez.gif\" alt=\"Cube\" \/><\/td>\n<td>A <em>cube<\/em> is a prism whose faces are squares.<\/p>\n<p>This cube has six faces, twelve edges, and eight vertices.<\/td>\n<\/tr>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/pyramidz.gif\" alt=\"Pyramid\" \/><\/td>\n<td>A <em>pyramid<\/em> is a polyhedron whose base is a polygon and whose faces are triangles with a common vertex.<\/p>\n<p>This triangular pyramid has four faces, six edges, and four vertices.<\/p>\n<p>This square pyramid has five faces, eight edges, and five vertices.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Other 3-D Figures<\/h3>\n<p>These are solids that are not formed by polygons.<\/p>\n<table>\n<tbody>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/cylinderz.gif\" alt=\"Cylinder\" \/><\/td>\n<td>A <em>cylinder<\/em> is a solid whose bases are circles.<\/td>\n<\/tr>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/conez.gif\" alt=\"Cone\" \/><\/td>\n<td>A <em>cone<\/em> is a solid with one circular base and one vertex<\/td>\n<\/tr>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/wp-content\/uploads\/sites\/4\/2017\/08\/spherez.gif\" alt=\"Pyramid\" \/><\/td>\n<td>A <em>sphere<\/em> is the set of all points in space that are equidistant from a given point called the center.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<section class=\"question\">\n<h4>Question<\/h4>\n<p>How many more vertices than a rectangular pyramid does a rectangular prism have?<\/p>\n<ol>\n<li>0<\/li>\n<li>2<\/li>\n<li>3<\/li>\n<li>4<\/li>\n<\/ol>\n<p><a class=\"q-answer button button-primary\">Reveal Answer<\/a><\/p>\n<p class=\"q-reveal\">The correct answer is C. A rectangular prism has eight vertices and a rectangular pyramid has five.<\/p>\n<\/section>\n<h3>Review<\/h3>\n<ul>\n<li>A <abbr title=\"A three-dimensional solid whose faces are polygons.\">polyhedron<\/abbr> is a three-dimensional solid where each face is a polygon. Some examples are:\n<ul>\n<li>prisms<\/li>\n<li>cubes<\/li>\n<li>pyramids<\/li>\n<\/ul>\n<\/li>\n<li>Other three-dimensional figures (not formed by polygons) include:\n<ul>\n<li>cylinders<\/li>\n<li>cones<\/li>\n<li>spheres<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/section>\n<p><!-- CONTENT ENDS HERE --><\/p>\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/transformations\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/geometry-measurement\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/proofs\">Next Lesson \u27a1<\/a><\/div>\n<p><a class=\"backtotop\" href=\"#title\">Back to Top<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2b05 Previous Lesson\u00a0Workshop Index\u00a0Next Lesson \u27a1 Three-Dimensional Figures, or Solids Objective In the coming lesson, we&#8217;ll review the basic three-dimensional figures and some of their properties. Previously Covered In the section above, we discussed polygons and their properties. We also covered how figures can be transformed; that is, they can change location, or orientation while [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-260","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/260","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/comments?post=260"}],"version-history":[{"count":5,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/260\/revisions"}],"predecessor-version":[{"id":994,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/260\/revisions\/994"}],"wp:attachment":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/media?parent=260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}