1. 2cm 1.5cm 3cm 12.57cm 6.28cm 9.42cm 18.85cm 12.57cm 2 3.14cm 2 7.07cm 2 28.27cm 2 A. B. C. D. i. ii. iii. iv. 1. 2. 3. 4.

2. = or =2 =2=2 Circumference of a Circle Area of a Circle

3. 11 th December 2012 Surface Area of Prisms and Cylinders Learning Objective: To calculate the surface area of right prisms and cylinders. Level: 7

4. Surface area is the area on the outside of a 3D shape.

5. What is a prism?  A 3-D shape with same cross section all the way through.

6. 10cm 8cm 7cm 3cm 9cm Area of cross section: Perimeter of cross section: Surface Area:

7. 10 8 7 3 9 Area of cross section: 48 2 Perimeter of cross section: 30 Surface Area: 306 2 7 8910 3 30 = perimeter of cross section

8. S= 2A +lp Where: S = Surface Area of prism A = Area of cross section L = Length P = Perimeter of cross section

9. Surface Area of a Cylinder 12 3 Area of cross section = × 3 2 = 9 = 28.3 2 Perimeter of cross section = 2 × × 3 = 6 = 18.8 Surface Area = 2 × 28.3 + 12 × 18.8 = 282.7 2 12 3 6

10. Which shape has the greater surface area? How do you know?

11. Which shape has the greater surface area? How do you know? Look at the cross sections:

12. Which shape has the greater surface area? How do you know? Look at the perimeter length: Perimeter =+++ =4 Circumference = × ≈ 3.14

13. Which shape has the greater surface area? How do you know? Compare nets: Drawn to scale

15. 0.141592654 Circumference of a circle: = or =2

16. Area of a circle:

17. =2=2