Surface Area of Prisms

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
4
Surface Area Cuboid
Area A b x h
C
7.2 x 5.3 38.16cm2
B
5.3cm
A
10.6cm
Area B b x h
7.2cm
5.3 x 10.6 56.18cm2
BUT there are 2 As, 2 Bs and 2 Cs
2 x A 38.16 x 2 76.32cm2
Area C b x h
2 x B 56.18 x 2 112.36cm2
7.2 x 10.6 76.32cm2
2 x C 76.32 x 2 152.64cm2
Total Surface Area 341.32cm2
5
Surface Area of Cylinder
Cross-sectional Area p x r2
p x 32 28.2743..cm2
2 x Circles 2 x 28.2743 56.5486 cm2
3cm
5cm
5
2pr
Curved surface area 5 x 2 x p x 3
94.2477.cm3
Total 56.5486 94.2477.. 154.796..cm2
154.8cm2
6
Surface Area - Trapezoid Prism
Cross-sectional Area ½ x(a b) x h
½ x (6.3 1.7) x 4.9
6.3cm
C
4cm
19.6cm2
B
4.9cm
A
2 x A 19.6 x 2 39.2cm2
8.2cm
1.7cm
2 x B 8.2 x 4 x 2 65.6cm2
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
B
4.1cm
4.9cm
A
DO NOT ROUND!
6.2cm
D the base
8.6cm
2 x A 17.63 x 2 35.26cm2
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 171.48cm2