<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=utf-8"> <title>5.C: Surface Area</title> <meta name="identifier" content="i16448f4ba06e8179bf8bf51667d60ed2"/> <meta name="editing_roles" content="teachers"/> <meta name="workflow_state" content="active"/> </head> <body> <div id="HS21"> <div class="overview"> <h2>Overview</h2> <p>The purpose of this lesson is to learn how to find the surface area of a solid.</p> <p>This lesson will address the following CCRS Standard(s) for Geometry:</p> <ul> <li><em>7.G.6: Solve real-world and mathematical problems involving area, volume and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms</em></li> </ul> </div> <div class="directions"> <h2>Directions</h2> <ol> <li>Take notes while watching videos below</li> <li>Go to <a class="external" href="http://wamap.org/" target="_blank">http://wamap.org</a> and log into our course to complete assignment 5.B with 80% or better.</li> </ol> </div> <h3>Watch</h3> <p><a class="" href="https://youtu.be/oU0ixLV-3WI">Surface Area [9:38]</a></p> <h3>Do</h3> <p>Complete assignment 5.B with 80% or better at <a href="http://wamap.org">http://wamap.org</a></p> <div class="summary"> <h2>Summary</h2> <p>In this lesson we have learned:</p> <ul> <li>If P is the perimeter of the base of a prism (or circumference of the base of a cylinder), and B is the area of the base, then the surface area of the prism (or cylinder) is <img class="equation_image" title="A=2B+Pl" src="https://sbctc.instructure.com/equation_images/A%253D2B%2BPl" alt="LaTeX: A=2B+Pl" data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>A</mi> <mo>=</mo> <mn>2</mn> <mi>B</mi> <mo>+</mo> <mi>P</mi> <mi>l</mi> </math>' data-equation-content="A=2B+Pl"> (where l is the slant height)</li> <li>If P is the perimeter of the base of a pyramid (or circumference of the base of a cone), and B is the area of the base, then the surface area of the pyramid (or cone) is <img class="equation_image" title="A=B+\frac{1}{2}Pl" src="https://sbctc.instructure.com/equation_images/A%253DB%2B%255Cfrac%257B1%257D%257B2%257DPl" alt="LaTeX: A=B+\frac{1}{2}Pl" data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>A</mi> <mo>=</mo> <mi>B</mi> <mo>+</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mi>P</mi> <mi>l</mi> </math>' data-equation-content="A=B+\frac{1}{2}Pl"> (where l is the slant height)</li> <li>The surface area of a sphere is <img class="equation_image" title="A=4\pi r^2" src="https://sbctc.instructure.com/equation_images/A%253D4%255Cpi%2520r%255E2" alt="LaTeX: A=4\pi r^2" data-mathml='<math xmlns="http://www.w3.org/1998/Math/MathML"> <mi>A</mi> <mo>=</mo> <mn>4</mn> <mi>&#x03C0;<!-- π --></mi> <msup> <mi>r</mi> <mn>2</mn> </msup> </math>' data-equation-content="A=4\pi r^2"> </li> </ul> </div> </div> </body> </html>