{"id":4361,"date":"2022-01-23T19:54:38","date_gmt":"2022-01-23T19:54:38","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4361"},"modified":"2022-01-23T19:54:38","modified_gmt":"2022-01-23T19:54:38","slug":"surface-area-of-pyramids","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/","title":{"rendered":"Surface Area of Pyramids"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n
Surface Area of Pyramids<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a pyramid is obtained by adding the areas of its faces. A pyramid is a three-dimensional shape whose base is a polygon and whose side faces (that are triangles) all meet at a point which is called the apex (or) vertex. The perpendicular distance from the apex to the center of the base is called the altitude or height of the pyramid. The length of the perpendicular drawn from the apex to the base of a triangle (side face) is called the “slant height”.<\/p>\n

The surface area of a pyramid is a measure of the total area that is occupied by the surface. In other words, it’s the sum of areas of its faces and hence it is measured in square units such as m2<\/sup>, cm2<\/sup>, in2<\/sup>, ft2<\/sup>, etc. A pyramid has two types of surface areas, one is lateral surface area (LSA) and the other is the total surface area (TSA).<\/p>\n

The lateral surface area (LSA) of a pyramid<\/strong> = The sum of areas of the side faces (triangles) of the pyramid.
\nThe total surface area (TSA) of a pyramid<\/strong> = LSA of pyramid + Base area.
\nIn general, the surface area of a pyramid without any specifications means the total surface area of the pyramid.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]\"\"<\/a>
\n1. Determine the area of the base (B) and the perimeter of the base (B).
\n2. Find the slant height (B).
\n3. Use those values in the formula, \"\\fn_phv
\n4.State the total surface area in the appropriate square units.<\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Calculate the surface area of the pyramid shown below.
\n\"\"<\/a>
\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]\"\\fn_phv<\/p>\n

or, \"\\fn_phv<\/p>\n

\"\\fn_phv<\/p>\n

\"\\fn_phv<\/p>\n

\"\\fn_phv[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Surface Area of Pyramids[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 1<\/h5>\n

Find the total surface area of the pyramid.<\/strong><\/span>
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”25px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 2<\/h5>\n

Oliver is making a toybox from wood in the shape of a pyramid. Dimensions are below. How many square meters of wood are needed?<\/strong><\/span>
\nRound your answer to the nearest tenth.
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”25px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n

Practice Problem 3<\/h5>\n

The pendant in the shape of a pyramid have dimensions below. Find the surface area.<\/strong><\/span>
\n\"\"<\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”25px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]Surface area:<\/strong> It is the sum of the areas of all the surfaces of a three-dimensional figure.<\/p>\n

Lateral area:<\/strong> It is the surface area of the figure, excluding the area of the base(s) of a three-dimensional figure.<\/p>\n

Regular pyramid<\/strong> \u2013 a pyramid with a base that is a regular polygon.<\/p>\n

Slant height<\/strong> \u2013 the height of a lateral face.<\/p>\n

Net:<\/strong> A two-dimensional shape that can be modified to form a three-dimensional shape or a solid. A 3-D shape may have different nets.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635499698510{border-radius: 10px !important;}”]Pre-requisite Skills<\/strong><\/span>
\nNets of 3 Dimensional Figures<\/span><\/a>
\nSurface Area of Prisms<\/span><\/a>
\nSurface Area of Rectangular Prisms<\/span><\/a>
\nSurface Area of Cylinders<\/span><\/a>
\nMeasurement – Perimeter<\/span><\/a>
\nMeasurement – Area<\/span><\/a>
\nArea of a parallelogram<\/span><\/a>
\nArea of a triangle<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635499782218{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]Related Skills<\/strong><\/span>
\nVolume of Pyramids<\/a><\/span>
\nVolume of Prisms<\/a><\/span>
\nVolume of Spheres<\/a><\/span>
\nVolume of Cylinders<\/a><\/span>
\nVolume of Cones<\/a><\/span>
\nVolume of Rectangular Prisms<\/a><\/span>
\nSurface Area of Cylinders<\/a><\/span>
\nSurface Area of Cones<\/a><\/span>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Graphs” color=”warning” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fgraphs|title:Graphs||”][vc_btn title=”Geometry and Spatial sense” color=”danger” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fgeometry-and-spatial-sense|title:Geometry%20and%20Spatial%20sense||”][vc_btn title=”Measurement” color=”violet” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fmeasurement|title:Measurement||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"

[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Surface Area of Pyramids [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a pyramid is obtained by adding the areas of its faces. A pyramid is a three-dimensional shape whose base is […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\nSurface Area of Pyramids | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Area of Pyramids\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Surface Area of Pyramids [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a pyramid is obtained by adding the areas of its faces. A pyramid is a three-dimensional shape whose base is […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/\" \/>\n<meta property=\"og:site_name\" content=\"Oryx Learning\" \/>\n<meta property=\"og:image\" content=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf-300x281.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\",\"name\":\"Oryx Learning\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"sameAs\":[],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"contentUrl\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png\",\"width\":150,\"height\":74,\"caption\":\"Oryx Learning\"},\"image\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/#website\",\"url\":\"https:\/\/oryxlearning.com\/learn\/\",\"name\":\"Oryx Learning\",\"description\":\"Complete interactive math curriculum\",\"publisher\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/oryxlearning.com\/learn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf.png\",\"contentUrl\":\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf.png\",\"width\":422,\"height\":395},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#webpage\",\"url\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/\",\"name\":\"Surface Area of Pyramids | Oryx Learning\",\"isPartOf\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#primaryimage\"},\"datePublished\":\"2022-01-23T19:54:38+00:00\",\"dateModified\":\"2022-01-23T19:54:38+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/oryxlearning.com\/learn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Surface Area of Pyramids\"}]}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Surface Area of Pyramids | Oryx Learning","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/","og_locale":"en_US","og_type":"article","og_title":"Surface Area of Pyramids","og_description":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Surface Area of Pyramids [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a pyramid is obtained by adding the areas of its faces. A pyramid is a three-dimensional shape whose base is […]","og_url":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/","og_site_name":"Oryx Learning","og_image":[{"url":"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf-300x281.png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/oryxlearning.com\/learn\/#organization","name":"Oryx Learning","url":"https:\/\/oryxlearning.com\/learn\/","sameAs":[],"logo":{"@type":"ImageObject","@id":"https:\/\/oryxlearning.com\/learn\/#logo","inLanguage":"en-US","url":"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png","contentUrl":"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/Oryx-Learning-Logo-3.png","width":150,"height":74,"caption":"Oryx Learning"},"image":{"@id":"https:\/\/oryxlearning.com\/learn\/#logo"}},{"@type":"WebSite","@id":"https:\/\/oryxlearning.com\/learn\/#website","url":"https:\/\/oryxlearning.com\/learn\/","name":"Oryx Learning","description":"Complete interactive math curriculum","publisher":{"@id":"https:\/\/oryxlearning.com\/learn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/oryxlearning.com\/learn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#primaryimage","inLanguage":"en-US","url":"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf.png","contentUrl":"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/sf.png","width":422,"height":395},{"@type":"WebPage","@id":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#webpage","url":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/","name":"Surface Area of Pyramids | Oryx Learning","isPartOf":{"@id":"https:\/\/oryxlearning.com\/learn\/#website"},"primaryImageOfPage":{"@id":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#primaryimage"},"datePublished":"2022-01-23T19:54:38+00:00","dateModified":"2022-01-23T19:54:38+00:00","breadcrumb":{"@id":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/oryxlearning.com\/learn\/surface-area-of-pyramids\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/oryxlearning.com\/learn\/"},{"@type":"ListItem","position":2,"name":"Surface Area of Pyramids"}]}]}},"_links":{"self":[{"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/pages\/4361"}],"collection":[{"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/comments?post=4361"}],"version-history":[{"count":4,"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/pages\/4361\/revisions"}],"predecessor-version":[{"id":5891,"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/pages\/4361\/revisions\/5891"}],"wp:attachment":[{"href":"https:\/\/oryxlearning.com\/learn\/wp-json\/wp\/v2\/media?parent=4361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}