# Chapter 10

## Symbols

A=Area

B=Area of Base

P=Perimeter of the Base

b=base

h=height

S=Surface Area

l=slant height

## 10.1 Vocab

base of a parallelogram-is the length of any one of its sides.

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

bases of a trapezoid-are its two parallel sides.

height of a trapezoid-the perpendicular distance between the two bases

## 10.1 Formulas

Area of Parallelogram

A=b*h

Area of Trapezoid

A=0.5*(base 1 +base 2) * height

Algebra - Area of a Trapezoid

## 10.2 Vocab

radius- The distance from the center of a circle to any point on the circle.

diameter- is the distance across the circle through the center,or twice the radius

pi- a math constant used that is rounded to 3.14

## 10.2 Formulas

Area of a Circle

A=pi*r*r

How to Find the Area of a Circle, Given a Radius or a Diameter

## 10.3 Vocab

Solid- a 3D figure that encloses a part of a space

Polyhedron- a solid that is enclosed by polygons. Only has flat surfaces

Faces- The polygons that form a polyhedron

Prism- a polyhedron, have 2 congruent bases that lie in parallel lines. the other faces are rectangles.

Pyramid- a polyhedron, that only has 1 base, other bases are triangles.

Cylinder- a solid with 2 congruent circular bases that lie in parallel planes

Cone- is a solid with only 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- The segments where faces of a polyhedron meet

Vertex- is a point where three or more edges meet.

## 10.3 How to count faces, edges, and verticies

Classify the solid. Then count the number of edges, faces, and vertices.

Cylinders and cones aren't polyhedrons.

## 10.4 Vocab

Net- is a 2D pattern that forms a solid when it is folded

Surface Area- is the sum of the areas of its faces

## 10.4 Formulas

Surface area of a prism

S= 2B + Ph

Surface Area of a Cylinder

S=2B + Ch= 2*pi*r*r+2*pi*r*h

Cylinder Volume and Surface Area
How to find the Surface Area of a Rectangular Prism

## 10.5 Vocab

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

## 10.5 Vocab

Surface Area of a Pyramid

S= B + 0.5*P*l

Surface Area of a Cone

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

Surface Area of a Pyramid
Surface Area Of A Cone - VividMaths.com

## 10.6 Vocab

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

## 10.6 Formulas

Volume of Prisms

V=B*h

Volume of Cylinders

V=B*h=pi*r*r*h

Volume Of A Cylinder

## 10.7 Vocab

Refer to previous sections

## 10.7 formulas

Volume of a Pyramid

V=1/3*B*h

Volume of a Cone

V=1/3*B*h=1/3*pi*r*r*h

How To Find The Volume Of A Cone: THE EASY WAY!
Volume of a Pyramid