
# 5.C: Surface Area


## Overview

The purpose of this lesson is to learn how to find the surface area of a solid.

This lesson will address the following CCRS Standard(s) for Geometry:

• 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

## Directions

1. Take notes while watching videos below
2. Go to http://wamap.org and log into our course to complete assignment 5.B with 80% or better.

### Watch

Surface Area [9:38]

### Do

Complete assignment 5.B with 80% or better at http://wamap.org

## Summary

In this lesson we have learned:

• 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  (where l is the slant height)
• 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  (where l is the slant height)
• The surface area of a sphere is </mi> <msup> <mi>r</mi> <mn>2</mn> </msup> [/itex]' data-equation-content="A=4\pi r^2">