2. 3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch your students interest and enjoyment grow Key concepts focused on and driven home Over 100 files available with many more to come 1000’s of slides with nice graphics and effects. powerpointmaths.com Get ready to fly! © Powerpointmaths.com All rights reserved.

3. Surface Area of a Prisms Remember: Prisms are 3 dimensional shapes that have a constant cross-sectional area. Triangular-based prism Rectangular-based prism Pentagonal-based prism Hexagonal-based prism Octagonal-based prism Circular-based prism Cylinder Cuboid

4. Surface area of prisms. Diagrams Not to scale To find the surface area of a prism, find the area of all the faces and add them together 10 cm 4 cm 3 cm Surface area = 2 x 3 x 10 + 2 x 4 x 3 + 2 x 4 x 10 = 60 + 24 + 80 = 164 cm 2 14 cm 8 cm 2 cm 5 cm 2 cm 2 x 8 x 14 = 224 (top and bottom) 2 x 8 x 7 = 112 (L and R side views) 2 x 14 x 2 = 56 Surface area = 412 cm 2 2 x 5 x 2 = 20 2 1

5. Find the surface area of the following prisms. Diagrams Not to scale 3 mm 4 mm 2 mm 4 2.5 m 6 m 3 m 4 m 2.5 m 2 x 6 x 3 = 36 (top and bottom) 2 x 4 x 3 = 24 (L and R sides) 2 x 6 x 2.5 = 30 2 x 2.5 x 1.5 = 7.5 Surface area = 97.5 cm 2 3 5 mm 3 x rectangles give: 5 x 2 + 4 x 2 + 3 x 2 = 24 2 x triangles give: ½ (4 x 3) x 2 = 12 Surface area = 36 mm 2

6. Now try these. 6 5 10’’ 6’’ 5’’ 3’’ 2 x 10 x 5 = 100 (T and B) 2 x 6 x 5 = 60 (L and R) 2’’ Front and back gives: 2 x (10 x 6 - 2 x 3) = 108 2 x 5 x 3 = 30 Surface area = 298 inches 2 12 ft 5 ft 13 ft 2 ft 3 x rectangles give: 13 x 2 + 12 x 2 + 5 x 2 = 60 2 x triangles give: ½ (12 x 5) x 2 = 60 Surface area = 120 ft 2 Diagrams Not to scale

7. Worksheet 1 10 cm 4 cm 3 cm 14 cm 8 cm 2 cm 5 cm 2 cm 2 1 Surface Area of a Prism

8. Worksheet 2 3 mm 4 mm 2 mm 4 2.5 m 6 m 3 m 4 m 2.5 m 3 5 mm Surface Area of a Prism

9. Worksheet 3 6 5 10’’ 6’’ 5’’ 3’’ 2’’ 12 ft 5 ft 13 ft 2 ft Surface Area of a Prism