# Chapter 10

### Kade H

## All Formulas

## Section One

Formula= A=bh

-Problems

Find the Area of the parallelogram.

Real Life Examples:

The U.S. Postal Service Picture

A Flattened Box

## Section Two

Formula= A=3.14(or pi)* r^2

-Problems

Find the Area of the Circles

Real Life Examples:

Wheels

Roundabouts

Use A=3.14*r^2 A=3.14*r^2 A=3.14*2^2 A=12.56in^2 | ## You must divide by two for the Radius Use A=3.14*r^2 A=3.14*r^2 A=3.14*2^2 A=12.56cm^2 | Use A=3.14*r^2 A=3.14*r^2 A=3.14*6^2 A=113.04cm^2 |

## Section Three

Classify the Solids

Then tell if they are Polyhedrons.

-Problems

Real life examples:

Dice that are multiple sided

-Identify -Then tell if its a Polyhedron Answer Sphere, Cone, and Cylinder Non Polyhedrons | -Identify -Then tell if its a Polyhedron Answer Pentagonal Prism Polyhedron | -Identify -Then tell if its a Polyhedron Answer Non-Convex Polyhedron |

## Section Four

Surface Area of Prisms and Cylinders

Formula= S=pi*r*r + pi*r*l

Find the Surface Area of the following Solids

Real Life Examples:

Water Park Slides

Inflated Air Balls

Use S=3.14*r^2 + 3.14*r*l S=3.14*3.5^2+3.14*3.5*10 S=38.465+109.9 S=148.365cm^2 | Use S=3.14*r^2 + 3.14*r*l S=3.14*4^2+3.14*4*15 S=50.24+188.4 S=238.64cm^2 | ## Use 8 as the Radius Use S=3.14*r^2 + 3.14*r*l S=3.14*8^2+3.14*8*20 S=200.96+502.4 S=703.36 units^2 |

## Section Five

Surface area of Pyramids and Cones

Formula= S=B+1/2Pl

-Problems

Real world examples:

Egyptian Pyramids

## Section Six

Volumes of Prisms and Cylinders

Formula= V=Bh

-Problems

Real life examples:

Skyscrapers

Building blocks

## Section Seven

Volumes of Pyramids and Cones

Formula= V=1/3Bh

-Problems

Egyptian Tombs

Ice cream cones

## Whats That?

Pyramid: A solid, formed by polygons, that has one base. The base can be any polygon, and the other faces are triangles.

Cylinder: A solid with two congruent circular bases that lie in parallel lines.

Cone: A solid with a circular base.

Sphere: A solid formed by all points in a space that are the same distance from a fixed point in the center.