# Chapter 10

### Kyler Williams

## Chapter 10.1- Area of a Trapezoid and Parallelogram

## Key Vocabulary From Chapter 10.1

- Base of a parallelogram- The length of any one of it's sides.

- Height of a parallelogram- The perpendicular distance between the base and opposite side

- Base of a trapezoid- The two parallel sides

- Height of a trapezoid- The perpendicular distance between the bases

## Practice Problems

## Trapezoid

Area of a Trapezoid

## Parallelogram

Area of a Parallelogram

## Chapter 10.2- Area of a Circle

## Key Vocabulary From Chapter 10.2

- Area- The space included within, the surface
- Radius- The distance from the edge of the circle to the center
- Diameter- The distance from one side of the circle to the other passing through the center
- Circumference- The distance around any given circle
- Pi- Irrational number used to calculate the circumference and area of a circle, represented by π , starts with "3.14..."

## Practice Problems

## Circle

Area of a circle

## Chapter 10.3- Three-Dimensional Figures

## Key Vocabulary From Chapter 10.3

Solid- A three-dimensional figure that encloses a part of space

Polyhedron- A solid made from polygons

Face- The polygons that form a polyhedron are faces

Edge- The place where two faces meet

Vertex- Corners, points

## Practice Problems

## Chapter 10.4- Surface Areas or Prisms and Cylinders

## Key Vocabulary From Chapter 10.4

- Net- A two-dimensional pattern that forms a solid when folded
- Surface Area- Area of the surface of a 3D figure

## Practice Problems

Cylinder Volume and Surface Area

## Chapter 10.5- Surface Area of Pyramids and Cones

## Key Vocabulary From Chapter 10.5

- Slant Height- The height of the lateral face, (any face that's not the base)

## Practice Problems

## Chapter 10.6- Volumes of Prisms and Cylinders

## Key Vocabulary From Chapter 10.6

- Volume- A measure of the amount of space a solid takes up

## Practice Problems

## Chapter 10.7- Volumes of Pyramids and Cones

## Practice Problems

## All Formulas

- Area of a Parallelogram- A= bh
- Area of a Trapezoid- A= ½(b1+b2)h
- Area of a Circle- A= πr²
- Surface Area of a Prism- S= 2B + Ph
- Surface Area of a Pyramid- S= B + ½Pl
- Surface Area of a Cone- S= πr² + πrl
- Volume of a Prism- V= Bh
- Volume of a Cylinder- V= Bh
- Volume of a Pyramid- V= ⅓Bh
- Volume of a Cone- V= ⅓Bh

## All Formula Key

- A= area
- b= length of base
- h= height of shape
- b1= one of the bases
- b2= the other base
- r= radius
- S= surface area
- B= area of the base
- P= perimeter of base
- V= volume
- l= length of base

## Real Life Examples

- You will need to use the formula of surface area of a cone to find how much cloth you will need to make a tee-pee.
- You will need to use the formula of surface area of a box when you wrap a gift to find out how much wrapping paper you will need.
- You will need to use the formula for the area of a trapezoid to find the area of your roof to find out how many shingles you will need.