# CHAPTER 10

### TANNER L

## Chapter 10.1

## Vocabulary

**Base of a parallelogram** is the length of any side of the parallelogram can be used as the base.

**Height of a parallelogram** is the perpendicular distance between the side whose length is the base and the opposite side.

**Bases of a trapezoid** is the lengths of the parallel sides sides of the trapezoid.

**is the perpendicular distance between the bases of the trapezoid.**

## RhombusFormula
h=height | ## TrapezoidFormula:
b1= one of the parallel bases b2= the other parallel base. A= area. | ## RectangleFormula:
h=height |

## Real Life Examples

## Chapter 10.2

## Vocabulary

**Area** is the number of square units covered by a figure.

**Circle** is the set of all points in a plane that are the same distance, called the radius, from a fixed point, called the center.

**Radius** is the distance between the center and any point on the circle.

**Diameter** is the distance across the circle through the center.

**Circumference** is the distance around the circle.

**Pi **is the ratio of the circumference of a circle to its diameter.

## Area of a Circle

## Circumference of a Circle

## Chapter 10.3

## Vocabulary

**Solid**is a three-dimensional figure that encloses a part of space

**Polyhedron** is A solid that is enclosed with polygons

**Face **is a polygon that is a side of the polyhedron

**Prism** is a solid, formed by polygons, that has two congruent bases lying in parallel planes

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

**Cylinder** is A solid with two congruent circular bases that lie in parallel planes

**Cone** is A solid with one circular base

**Sphere** is A solid formed by all points in space that are the same distance from a fixed point called the center

**Edge** is A line segment where two faces of the polyhedron meet

**Vertex** is A point at which three or more edges of a polyhedron meet

## Chapter 10.4

## Vocabulary

Surface Area is the sum of the areas of the faces of the polyhedron

## Prism Formula
S= Surface Area B= AREA of the base P= Perimeter | ## Cylinder Formula
| ## Net A two-dimensional representation of a solid. This pattern forms a solid when it is folded, or laid flat. Example : Soup Can Label |

## Surface area of Cylinder

## Chapter 10.5

## Vocabulary

**Slant Height **is the height of ant face that is not the base of a regular pyramid

## Surface area of a Pyramid Formula
l= | ## Net A two-dimensional representation of a solid. This pattern forms a solid when it is folded, or laid flat. | ## Surface area of a Cone Formula S=pi*r^2+pi*r*l l=slant height |

## Real life Examples

## Surface area of a Cone

## Chapter 10.6

## Volume of a Cylinder

## Chapter 10.7

## Vocabulary

**Pyramid **is A solid, formed by polygons, that has one base.

**Cone **is A solid with one circular base.

**Volume** is The amount of space the solid occupies.

## volume of a Pyramind

Formula

V=1/3*B*h

## Volume of a Cone

Formula

__V=1/3Bh __or __V=1/3*pi*r^2*h__

## Volume and Surface area of a Sphere

## Volume for a Sphere

Formula

V=4/3*pi*r^3

^3 to the third power or cubed

## Surface area of a Sphere

Formula

S=4*pi*4^2

^2= squared

## Surface Area of a Sphere

## Volume of a Sphere

## All Formula for Chapter 10

Area of a Trapezoid- A=1/2(b1+b2)h

Area of a Circle- A= pi*r^2

Surface Area of a Prism- S=2*B+P*h

Surface Area of a Cylinder- S=2*B+C*h or S=2*pi*r^2+2*pi*r*h

Surface Area of a Pyramid- S=B+1/2*P*l

Surface Area of a Cone- S=pi*r^2+pi*r*l

Surface Area of a Sphere- S=4*pi*4^2

Volume of a Prism- V=B*h

Volume of a Cylinder- V=B*h or V=pi*r^2*h

Volume of a Pyramid- V=1/3*B*h

Volume of a Cone- V=1/3*B*h or V=1/3*pi*r^2*h

Volume of a Sphere- V=4/3*pi*r^3