# Chapter 10

## 10.1 Areas of Parallelograms and Trapezoids

Vocabulary:

Base of a parallelogram- the length of any of it's sides

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

Bases of Trapezoids- are it's two parallel sides

Height of Trapezoids- perpendicular distance between the bases

## 10.2 Areas of Circles

Vocabulary:

Area- a flat, or plane figure is the number of unit squares that can be contained within it.

Circle- the set of points that are equidistant from a special point in the plane.

Circumference- computed by multiplying the diameter by pi

Pi- It expresses the ratio of the circumference to the diameter of a circle

## 10.3 Three-Dimensional Firgures

Vocabulary:

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

Polyhedron- a solid that is enclosed by polygons

Face- that form a polyhedron

Prism- a polyhedron, 2 congruent bases that lie in parallel planes

Pyramid- polyhedron, one base

Cylinder- solid, with 2 congruent circular bases

Cone- solid, with 1 circular base

Sphere- solid, formed by all points in space that are the same distance

Edges- segments where faces of a polyhedron meet

Vertex- a point where three or edges meet

## 10.4 Surface Areas of Prisms and Cylinders

Vocabulary:

Net- two-dimensional pattern that forms a solid when it is folded

Surface Area- of a polyhedron is the sum of the areas of it's faces

## 10.5 Surface Areas of Pyramids and Cones

Vocabulary:

Slant height- l of a regular pyramid is the height of a lateral face, that is, any face that is not the base

## 10.6 Volume of Prisms and Cylinders

Vocabulary:

Volume: a solid is a measure of the amount of space it occupies

measured in cubic units

## 10.7 Volume of Pyramids and Cones

Vocabulary:

Pyramid- polyhedron, one base

Cone- solid, with 1 circular base

Volume- a solid is a measure of the amount of space it occupies

measured in cubic units

## Defition of Formulas

P= base's perimeter

B= area of the base

C=base's circumference

V=volume

A=area

S=surface area

l=slant height

h=height

b=base, 2-dimensional

pi=3.14

## Formulas

10.1

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

Area of a Parallelogram- A=bh

10.2

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

10.3

No formulas

10.4

Surface Area of a Prism- S=2B+Ph

Surface Area of a Cylinder- S=2B+Ch

10.5

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

Surface Area of a Cone- S=pi*r2+pi*r*l

10.6

Volume of a Prism- V=Bh

Volume of a Cylinder- V=Bh

10.7

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

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

Extra
Volume of a Sphere- V=4/3*Bh

Volume of a Prism- V=Bh-----=lwh

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