How to find surface area of a prism gcse level

surface area of prism with different types of orientation

1. Surface Area of Prisms
Learning Objectives:

Understand how to find the surface area of triangular prisms as
well as the total surface area of trapezium prims.

Prior Knowledge:

Know how to calculate the area of a rectangle,
triangle
and trapezium.

2. Starter Questions
Mini Whiteboards Activity.
Calculate the area:
A = b x hA = b x h
= 8cm x 6cm = 8cm x 6cm
= 48cm
2
= 48cm
2
6cm
8cm

3. Starter Questions
Mini Whiteboards Activity.
Calculate the area:
A = b x hA = b x h
= 4cm x 4cm = 4cm x 4cm
= 16cm
2
= 16cm
2
4cm
4cm

4. Starter Questions
Mini Whiteboards Activity.
Calculate the area:



5cm
10cm

5. Starter Questions
Mini Whiteboards Activity.
Calculate the area:





5cm
6cm

6. Starter Questions
Mini Whiteboards Activity.
Calculate the area:





4cmh
3cma
5cmb

7. Starter Questions
Mini Whiteboards Activity.
Calculate the area:





5cm
4cm
6cm

8. OKAY…ARE WE READY TO calculate
the surface area of triangular and trapezium
prisms by
Finding the area of each face?Finding the area of each face?

9. Surface area of prism

Example 1: Find the total surface area :





Can we
“unfold”
the prism
to make its
net.
Rectangle 1 = 120 cm
2
12 cm
10 cm
8 cm
6 cm
10 cm
12 cm
10 cm
12 cm
6 cm
12 cm
10 cm
6 cm
8 cm
6 cm8 cm
10 × 12 =
120 cm
2

6 × 12 =
72 cm
2

10 × 12 =
120 cm
2

½ × 6 × 8 =
24 cm
2 Rectangle 2 = 72 cm
2
Rectangle 3 = 120 cm
2
Triangle 1 = 24 cm
2
Triangle 2 = 24 cm
2

10. 3 cm
3 cm
4 cm
5 cm
Surface area of prism


Example 2: Find the total surface area :






I can find
the total
surface
area of a
triangular
prism.

Rectangle 1 = 3 x 3= 9
cm
2
Rectangle 2 = 3 x 5= 15
cm
2
Rectangle 2 = 3 x 4= 12
cm
2

11. 5m
12m
11m
7m
6m
Surface area of prism


Example 3: Find the total surface area :






I can find
the total
surface
area of a
triangular
prism.

Rectangle 1 = 11 x 12 = 132
m
2
Rectangle 2 = 5 x 12 = 60 m
2
Rectangle 3 = 7 x 12 = 84 m
2

12. 10cm
6cm
8cm
8cm
16cm
7cm
Surface area of prism


Example 4: Find the total surface area :






I can find
the total
surface
area of a
trapezium
prism.

Top = 6 x 16 = 96 m
2
Bottom = 10 x 16 = 160
m
2
Side 1= 8 x 16 = 128 m
2
Side 2= 8 x 16 = 128 m
2

13. 14cm
6cm
8cm
8cm
12cm
7cm
Surface area of prism


Example 4: Find the total surface area :






I can find
the total
surface
area of a
trapezium
prism.

Top = 6 x 12 = 72 m
2
Bottom = 14 x 12 = 168
m
2
Side 1= 8 x 12 = 96 m
2
Side 2= 8 x 12 = 96 m
2