# Chapter 10

### Matt G

## Symbols

B=Area of Base

P=Perimeter of the Base

b=base

h=height

r=radius

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

A=b*h

Area of Trapezoid

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

## 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

A=pi*r*r

## 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

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

S= 2B + Ph

Surface Area of a Cylinder

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

## 10.5 Vocab

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

## 10.5 Vocab

S= B + 0.5*P*l

Surface Area of a Cone

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

## 10.6 Vocab

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

## 10.6 Formulas

V=B*h

Volume of Cylinders

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

## 10.7 Vocab

## 10.7 formulas

V=1/3*B*h

Volume of a Cone

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