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Surface Area. Slideshow 49, Mathematics Mr Richard Sasaki Room 307. Objectives. Review how to find the area of various polygons Learn how to calculate the surface area of cuboids, triangular prisms and square-based pyramids Learn how to calculate the surface area of a cylinder. Answers.

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surface area

Surface Area

Slideshow 49, Mathematics

Mr Richard Sasaki

Room 307

objectives
Objectives
  • Review how to find the area of various polygons
  • Learn how to calculate the surface area of cuboids, triangular prisms and square-based pyramids
  • Learn how to calculate the surface area of a cylinder
surface area1
Surface Area

What is surface area?

The total area of faces & surfaces on a 3D shape.

Calculating surface area for cuboids and triangular prisms is easy as long as we know the dimensions of each face.

3 cm

2 cm

3 cm

3 cm

2 cm

2 cm

5 cm

5 cm

surface area cuboid
Surface Area - Cuboid

3 cm

15 cm2

6 cm2

2 cm

10 cm2

6 cm2

3 cm

3 cm

15 cm2

2 cm

10 cm2

2 cm

5 cm

5 cm

All we do is add the total area of each face.

We just simply add the numbers together.

10 + 15 + 10 + 15 + 6 + 6

=

=

=

surface area triangular prism
Surface Area – Triangular Prism

Visualising a net is always good!

3 cm

4 cm

5 cm

10 cm

3 cm

3 cm

4 cm

4 cm

5 cm

10 cm

Surface Area:

=

=

square based pyramids
Square-Based Pyramids

Let’s have a look at the square based pyramid.

This should be easy to calculate the surface area with too!

square based pyramids1
Square-Based Pyramids

Example

Surface area =

cylinders
Cylinders

Let’s calculate the surface area of a cylinder with its radius and length.

Example

We know the cylinder is made of two and, if flattened a .

circles

rectangle

cylinders1
Cylinders

S.A =

On your test you won’t receive any formulae for surface area as the calculations are somewhat obvious but you are welcome to remember some if you need to!