How do we find surface area and lateral area of prisms?

Surface Area and Lateral Area of a prism

A prism is a solid with bases that are 2 congruent polygons. The other sides of the prism are called the lateral faces. 

 Lets say that the height is 5, the base is 4 is the base, and 3 is the width. to find SA you would have to follow the formula SA= LA+2b. LA stands for lateral area, while 2b stands for the two times the are of the base. So while finding the surface area you also find the lateral area. 

To find Lateral Area you do the formula : LA= ph, p standing for perimeter and h standing for height.

So lets find the Lateral Area:

LA= ph

LA= (5*4)*2+(5*3)*2

LA=70

2b= 24

SA= 70+24= 94cm^2

How do we do compositions of transformations?

              How do we do compositions of transformations?

A composition of a transformation is when you have two or more transformations in order to a form a new transformation. When given this transformation you are suppose to do the second transformation FIRST, then followed by the first transformation SECOND.

For example if you were given r x-axis (followed by a open circle) T(3,4): You are suppose to do T(3,4) as your first transformation followed by the reflection over the x-axis.

Step 1: 

If you were given the coordinates (6,-7) and the composition, y=x (open circle) T(2,-8).

First you would do T(2,-8) --> (x+2) (y-8) --> then you would substitute the x and the y for your original coordinates   --> (6+2) (-7-8) --> (8,-15) 

Step 2:

Now once you have finished the translation, you now do y=x.

y=x is just (x,y) --> (y,x)

            (8,-15) --> (-15,8)

You have just completed a composition of a transformation!!