1. February 23, Math 102
OBJECTIVE: Students will be able to determine the surface area of prisms and cylinders, using a calculator and a variety of methods
AIM: How can our knowledge of two dimensional shapes (rectangles, squares, and circles) help us find the surface area of prisms and cylinders?
STANDARDS: 7.G.4
PRIOR KNOWLEDGE: Find the area of a rectangle whose length is 10 inches and width is 6 inches.

2. MINI LESSON:
Surface Area – area outside
Face
Rectangular Prism
Base
Method 1: Add the areas of the 6 faces

3. SA = 2lw + 2lh + 2wh Method 2: Use the formula for surface area l =

4. Diameter
Base
Cylinder
Base
Method 1: Add the areas of the two bases and the circular tube

5. Find the area and circumference of the base
C = πd, or C = 2πr
Find the area of the circular tube
Circumference x height =

6. Add the area of the two bases and the circular tube
Method 2: Use the formula for the surface area of a cylinder

7. Example
What is the surface area of the cylinder below? Use 3.14 for π
r = 30 cm
Formula: SA = 2πr2 + 2πrh
h = 40 cm

8. Example
If the height of a cylinder is 50 m and its diameter is 60 m, what is its surface area?
Formula: SA = 2πr2 + 2πrh

9. Homework
A soda can is 15 cm in height, with a diameter of 8 cm. What is the surface area of the can? Use 3.14 for π
Formula: SA = 2πr2 + 2πrh