1. Surface Area of Prisms
OCR Stage 8

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

3. Area Formulae r h b Area Circle = π x r2 Area Rectangle
= Base x height h b h b
Area Trapezium
= ½ x (a + b) x h a b h
Area Triangle
= ½ x Base x height

4. Surface Area Cuboid Area A = b x h C = 7.2 x 5.3 = 38.16cm2 B A
Area B = b x h
= 5.3 x 10.6
= 56.18cm2
7.2cm
BUT there are 2 A’s, 2 B’s and 2 C’s
2 x A = x 2 = cm2
Area C = b x h
2 x B = x 2 = cm2
= 7.2 x 10.6
= 76.32cm2
2 x C = x 2 = cm2
Total Surface Area = cm2

5. Surface Area of Cylinder
Cross-sectional Area = π x r2
= π x 32
= …..cm2
2 x Circles = 2 x …
= … cm2
3cm
5cm 5
2πr
Curved surface area = 5 x 2 x π x 3
= ….cm3
Total = …
= cm2 = 154.8cm2

6. Surface Area - Trapezoid Prism
Cross-sectional Area = ½ x(a + b) x h
= ½ x ( ) x 4.9
6.3cm C
4cm
= 19.6cm2 B
4.9cm A
2 x A = 19.6 x 2 = cm2
8.2cm
2 x B = 8.2 x 4 x 2 = 65.6cm2
1.7cm
D (the base)
1 x C = 8.2 x 6.3 = 51.66cm2
1 x D = 8.2 x 1.7 = 13.94cm2
Total Surface Area = 170.4cm2

7. Surface Area Triangular Prism
Cross-sectional Area = ½ x b x h
= ½ x 8.6 x 4.1
C [rear]
9.53cm
= 17.63cm2
4.1cm B
4.9cm A
DO NOT ROUND!
6.2cm
8.6cm
D [the base]
2 x A = x 2 = cm2
1 x B = 6.2 x 9.53 = 57.18cm2
1 x C = 4.1 x 6.2 = 25.42cm2
1 x D = 8.6 x 6.2 = 53.32cm2
Total Surface Area = cm2