{"id":4732,"date":"2022-02-05T20:36:27","date_gmt":"2022-02-05T20:36:27","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4732"},"modified":"2022-02-05T20:36:27","modified_gmt":"2022-02-05T20:36:27","slug":"surface-area-of-triangular-prisms","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/surface-area-of-triangular-prisms\/","title":{"rendered":"Surface Area of Triangular Prisms"},"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<h5>Surface Area of Triangular Prisms<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]There are two types of areas, the lateral surface area of the prism, and second, the total surface area of the prism. The lateral area of a prism is the sum of the areas of all its lateral faces whereas the total surface area of a prism is the sum of its lateral area and area of its bases.<\/p>\n<p>The surface area of a triangular prism is also referred to as its total surface area. The total surface area of a triangular prism is the sum of the areas of all the faces or surfaces of the prism. A triangular prism has three rectangular faces and two triangular faces. The rectangular faces are said to be the lateral faces, while the triangular faces are called bases. If the bases of a triangular prism are placed horizontally, they are referred to as the top and the bottom (faces) of the prism, respectively. [\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Find the area of the two triangular faces. They will have the same area, so you can find one area and multiply by 2.<br \/>\n2. Find the area of each of the rectangular face. Those faces may all have different areas.<br \/>\n3. Add all five areas together and express the answer in the proper square units.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Find the surface area.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" style=\"margin-top: 16px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1593962506221.svg\" alt=\"\" width=\"252\" height=\"202\" \/><\/a><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Area of two triangular faces:<br \/>\n= <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;2(\\frac{1}{2}&space;\\times&space;b\\times&space;h)\" alt=\"\\fn_phv 2(\\frac{1}{2} \\times b\\times h)\" align=\"absmiddle\" \/><\/p>\n<p>= <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;2(\\frac{1}{2}&space;\\times&space;6\\times&space;8)\" alt=\"\\fn_phv 2(\\frac{1}{2} \\times 6\\times 8)\" align=\"absmiddle\" \/><\/p>\n<p>= <strong><span style=\"color: red;\">48 cm<sup>2<\/sup><\/span><\/strong><\/p>\n<p>Area of rectangular faces:<br \/>\n<strong>Face 1:<\/strong> l x w = 6 x 12 = 72 cm<sup>2<\/sup><br \/>\n<strong>Face 2:<\/strong> l x w = 8 x 12 = 96 cm<sup>2<\/sup><br \/>\n<strong>Face 3:<\/strong> l x w = 10 x 12 = 120 cm<sup>2<\/sup><\/p>\n<p><strong>Total surface area:<\/strong><br \/>\n48 cm<sup>2<\/sup> + 72 cm<sup>2<\/sup> + 96 cm<sup>2<\/sup> + 120 cm<sup>2<\/sup><br \/>\n= <strong><span style=\"color: red;\">336 cm<sup>2<\/sup><\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Surface Area of Triangular Prisms[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>From the choices below, select the correct calculation for finding the surface area of this prism.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><img loading=\"lazy\" class=\"alignnone wp-image-4736 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-8.png\" alt=\"\" width=\"277\" height=\"469\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-8.png 277w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-8-177x300.png 177w\" sizes=\"(max-width: 277px) 100vw, 277px\" \/><\/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-prisms”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the surface area.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><img loading=\"lazy\" class=\"alignnone wp-image-4738 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-8.png\" alt=\"\" width=\"193\" height=\"254\" \/><\/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-prisms”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Juliane needs to paint the roof of a dog house. Dimensions are shown below. How many cans of paint does she need if for 1 can of paint she can paint 0.25m<sup>2<\/sup>?<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><img loading=\"lazy\" class=\"alignnone wp-image-4740 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/4-8.png\" alt=\"\" width=\"196\" height=\"291\" \/><\/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-prisms”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/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]<strong>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.<\/p>\n<p><strong>Surface area:<\/strong> It is the sum of the areas of all the surfaces of a three-dimensional figure.<\/p>\n<p><strong>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<p><strong>Prism:<\/strong> A prism is a three-dimensional solid which has identical faces at both ends. The other faces are flats. A prism is named after its base.<\/p>\n<p><strong>Triangular Prism:<\/strong> A triangular prism is a polyhedron, made up of two triangular bases and three rectangular sides.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635856322862{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/nets-of-3-dimensional-figures\"><span style=\"color: #ed5600;\">Nets of 3 Dimensional Figures<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/surface-area-of-rectangular-prisms\"><span style=\"color: #ed5600;\">Surface Area of Rectangular Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-perimeter\"><span style=\"color: #ed5600;\">Measurement – Perimeter<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-area\"><span style=\"color: #ed5600;\">Measurement – Area<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-parallelogram\"><span style=\"color: #ed5600;\">Area of a parallelogram<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/area-of-a-triangle\"><span style=\"color: #ed5600;\">Area of a triangle<\/span><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635515355674{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;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/volume-of-pyramids\">Volume of Pyramids<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/volume-of-prisms\">Volume of Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\">Volume of Spheres<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-cylinders\">Volume of Cylinders<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-cones\">Volume of Cones<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/volume-of-rectangular-prisms\">Volume of Rectangular Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\">Surface Area of Cylinders<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cones\">Surface Area of Cones<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids\">Surface Area of Pyramids<\/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” 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el_class=”btninlinespacing”][vc_column_inner][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[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 Triangular Prisms [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]There are two types of areas, the lateral surface area of the prism, and second, the total surface area of the prism. The […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Surface Area of Triangular Prisms | 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-triangular-prisms\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface Area of Triangular Prisms\" \/>\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 Triangular Prisms [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]There are two types of areas, the lateral surface area of the prism, and second, the total surface area of the prism. 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