# Surface & Lateral Surface Area

## Surface Area

Surface Area is the total area of the surface of a three dimensional object.

## Prism

When finding the surface area of a prism you first have to write out the formula.

prism= S=Ph

1. S=Ph+2B
2. S=(4+4+10+10)8+2*40
3. S=28*8+80
4. S=224+80
5. S=304

## Pyramid

S=1/2Pl+BS=1/2(4+4+10+10)10+40S=1/2(28)*10+40S=1/2(280)+40S=1/2(320)S=160

## Cylinder

1. S=2*3.14rh+2*3.14r2
2. S=2*3.14*3*8+2*3.14*3squared
3. S=6.28*3*8+6.28*27
4. S=18.84*8+170.55
5. S=150.72+170.55
6. S=321.27

## What is Lateral Surface Area

Lateral Surface Area in a solid is the sum of the surface areas of all its faces excluding the base('s) of the solid.

## Prism

1. S=Ph
2. S=(4+4+10+10)8
3. S=(28)8
4. S=224

## Pyramid

1. S=1/2Pl
2. S=1/2(4+4+10+10)10
3. S=1/2(28)10
4. S=1/2(280)
5. S=140

## Cylinder

1. S=2*3.14*r*h
2. S=6.28*r*h
3. S=6.28*3*8
4. S=18.84*8
5. S=150.72

## STAAR Question

Alina's class is making shapes and then having to find the surface area of their shape.

If Alina's shape dimension's are 4*6*8 what is the surface area of her rectangular prism?