# Surface & Lateral Surface Area

### Lets Get Started

## Prism

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

prism= S=Ph

- S=Ph+2B
- S=(4+4+10+10)8+2*40
- S=28*8+80
- S=224+80
- S=304

## Our Shapes & Formulas

## How to Solve for Each Shape

## Cylinder

- S=2*3.14rh+2*3.14r2
- S=2*3.14*3*8+2*3.14*3squared
- S=6.28*3*8+6.28*27
- S=18.84*8+170.55
- S=150.72+170.55
- S=321.27

## Lateral Surface Area

## 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.

## How to Solve for Each Shape

## Prism

- S=Ph
- S=(4+4+10+10)8
- S=(28)8
- S=224

## Pyramid

- S=1/2Pl
- S=1/2(4+4+10+10)10
- S=1/2(28)10
- S=1/2(280)
- S=140

## Cylinder

- S=2*3.14*r*h
- S=6.28*r*h
- S=6.28*3*8
- S=18.84*8
- 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?