Surface Areas

Hello everyone! Today I will be talking to you about surface areas. For those of you who don't know, surface area is a measurement used on a daily basis. For example when painting your room or home, when changing floors or adding carpets at home, it pretty much goes from measuring the walls at home to driveways, highways etc. Today you are going to learn how to find the surface area from many shapes.

Before I start in case you hadn't read the previous blogs I've posted I will recommend you to do so, in order for you to clearly understand what I am going to be talking about today.

A) Surface area of a right prism
   To find the surface area of a right prism you have to find the net of the shape. In other words you have to flatten a shape into a 2-dimensional shape.

- Net for a cube = 6 x Edges^2
-Sum of lateral faces is the sum of the surface area
-Find the lateral area by adding the lateral faces, and last
-to find the surface area you must add the lateral area and the area of the bases together.

 

 

 

 

 

Surface Area of a Cylinder

 

 

 

 

 

The formula to find the surface area of a cylinder is

  2 pi r ² + 2 pi r

 

http://www.math.com/tables/geometry/surfareas.htm    <----- more info here

 

 

 

 

Surface Area of a Pyramid



According to the textbook "A Problem Solving Approach to Mathematics," the surface area of a pyramid "is the sum of the lateral surface area of the pyramid and the area of the base."

 

 

 

Formula:  n (1/2 bl) + B     {where b: base,  B: area of base, n: # of faces}

 

 

 

 

 

 

Surface Area of a Cone

 

 

 

Formula: pi r^2 + pi rl

 

 

 

 

 

Surface Area of a Sphere

 

 

 

Formula : 4 pi r^2