1. Surface Area of Prisms OCR Stage 8

2. A Prism Cylinder Cuboid Triangular Prism Trapezoid Prism Surface Area of Prism = Total of ALL individual surfaces

3. Area Formulae Area Circle = π x r 2 r Area Rectangle = Base x height h b b h Area Triangle = ½ x Base x height h b Area Trapezium = ½ x (a + b) x h a

4. Surface Area Cuboid 5.3cm 7.2cm 10.6cm Area A = b x h = 7.2 x 5.3 = 38.16cm 2 BUT there are 2 A’s, 2 B’s and 2 C’s A B C Area B = b x h = 5.3 x 10.6 = 56.18cm 2 Area C = b x h = 7.2 x 10.6 = 76.32cm 2 2 x A = 38.16 x 2 = 76.32cm 2 2 x B = 56.18 x 2 = 112.36cm 2 2 x C = 76.32 x 2 = 152.64cm 2 Total Surface Area = 341.32cm 2

5. 5cm 3cm Cross-sectional Area = π x r 2 = π x 3 2 = 28.2743…..cm 2 Curved surface area = 5 x 2 x π x 3 Total = 56.5486… + 94.2477.. = 154.796..cm 2 = 154.8cm 2 = 94.2477….cm 3 Surface Area of Cylinder 2πr2πr 5 2 x Circles = 2 x 28.2743… = 56.5486… cm 2

6. Surface Area - Trapezoid Prism Cross-sectional Area = ½ x(a + b) x h = ½ x (6.3 + 1.7) x 4.9 1.7cm 8.2cm 6.3cm 4.9cm = 19.6cm 2 A B C 2 x A = 19.6 x 2 = 39.2cm 2 2 x B = 8.2 x 4 x 2 = 65.6cm 2 1 x C = 8.2 x 6.3 = 51.66cm 2 Total Surface Area = 170.4cm 2 4cm D (the base) 1 x D = 8.2 x 1.7 = 13.94cm 2

7. Surface Area Triangular Prism Cross-sectional Area = ½ x b x h = ½ x 8.6 x 4.1 DO NOT ROUND! 8.6cm 6.2cm 4.1cm 4.9cm = 17.63cm 2 A B C [rear] D [the base] 2 x A = 17.63 x 2 = 35.26cm 2 1 x B = 6.2 x 9.53 = 57.18cm 2 1 x C = 4.1 x 6.2 = 25.42cm 2 Total Surface Area = 171.48cm 2 1 x D = 8.6 x 6.2 = 53.32cm 2 9.53cm