Aim: How do we find surface area and lateral aea of prisms and cylinders?

The formula to find the surface are of a prism is base times height times width

For example in this image the base length is 5, the height is 3  and the length is 10.
5 x 3 x 10 = 150

And to find the lateral are of this figure would would simply subtract the area of the two faces which would be the area of the two squares.
3 x 5 x 2 = 30
Then you would subtract the area of the two faces from the total surface area.
150-30= 120.
Lateral area = 120.

 Find the Surface and lateral area of this prism:


The surface area formula of a cylinder is: 2 π r² + 2 π r h



To find the surface area of his cylinder you would do radius squared (9) times 2 times π.
This will find the area of the two circles. To find the area of the rest of the solid you would have to do
6 x 3 x 2 x π. 
This formula would also solve the lateral area.

But to find the surface area you would have to add the outcome of the first equation and the second equation.


Find the surface and lateral area of this cylinder: