2. Linking Prior Knowledge DISCUSS: How would you find the area of this complex shape? First, we would need dimensions. Let’s add some. DISCUSS: Is this enough information to the area? This length is 10 in, which is also the perimeter of this top base. 3 in 2 in 3 in 2 in Yes, 42 in 2 The surface area for this prism is 42 in 2 10 in 2 in 3 in

3. Understanding the Vocabulary Surface area is the combined area of all the faces of a space figure. Think of this as the amount of gift wrap around the box. Lateral area is the area of the lateral faces. It is the area of a rectangle using the perimeter of the base and the prism’s height. prism’s height lateral area the base

4. Surface Area of Prisms prism’s height Lateral Area Base Area Surface Area ++= the base B. A. lateral area L. A. + 2(B. A.) = S. A.

5. Tying the Concepts to Cylinders prism’s height the base B. A. lateral area We can draw similarities when we look at cylinders as well. NetSpace Figure Rectangular Prism Cylinder the base cylinder’s height B. A. lateral area

6. Surface Area of Cylinders Cylinder the base cylinder’s height B. A. lateral area DISCUSS: How do we find the perimeter of a circle? We would need to find the circumference of the circular base. Lateral Area = Circumference height L. A. + 2(B. A.) = S. A.

7. Prisms Laying on the Side If you see a prism, you can rotate it to get a better idea of the base. the base prism’s height

8. In Summary For all prisms and cylinders, 1)find the base area and double it 2)find the perimeter of the base 3)multiply the perimeter with the height of the prism or cylinder 4) THEN ADD THEM ALL TOGETHER!!

9. Practice Turn to Page 188 in your RAPJ and do ALL problems