# Chapter 10

## 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

## Trapezoid

Area of a Trapezoid

## Parallelogram

Area of a Parallelogram

## 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..."

Area of a circle

## 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

## 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

## Key Vocabulary From Chapter 10.5

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

## Key Vocabulary From Chapter 10.6

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

## 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