# Chapter 10

### Jade N.

## 10-1

**Vocabulary**

- Base of a parallelogram- the length of any one of its sides.
- Height of a parallelogram-the perpendicular distance between the base and the opposite side
- Bases of a trapezoid-its two parallel sides
- Height of a trapezoid-the perpendicular distance between the bases

## Area of a parallelogram

The area of a parallelogramis the product of the base and the height

A=bh

A=bh

A=(15)(10)

A=15*10

A=150 units squared

## 10-2

## Vocabulary

- Area-the number of square units covered by a figure
- Circle-the set of all points in a plane that are the same distance, called a radius, from a fixed point, called the center
- Radius-the distance between a center and any point on the circle
- Diameter-the distance through a circle through the center
- Circumference-the distance around a circle
- Pi-the ratio of the circumference of a circle to its diameter

## 10-3

## Vocabulary

- solid- a 3D figure that encloses a part of space
- polyhedron-a solid that is enclosed by polygons-has only flat surfaces
- face-the flat surfaces of a 3D figure
- prism-has 2 congruent bases that lie in parallel planes, the other faces are rectangles
- pyramid- has 1 base, the other faces are triangles
- cylinder-has 2 congruent circular bases that lie in parallel planes
- cone-has one circular base
- spheres- formed by all points that are the same distance from a fixed point called the center-
- edge-the segments where faces of a polyhedron meet
- vertex-a point where 2 or more edges meet

Pyramids can have any shaped base as long as the sides are triangles. Have only one base.

Cylinder

Cone

## 10-4

Sphere

## Vocabulary

- Net-a 2D pattern that makes a solid when folded
- Surface area-the sum of polyhedron's areas of its faces

## Surface Area of a Prism

S=2B+Ph

B=5*6.5*1/2

B=16.25

S=2(16.25)+Ph

P=(8*6.5)+(5*8)+(8*6.5)

P=52+40+52

P=144

S=2(16.25)+(144)h

H=8

S=32.5+1152

S=1184.5cm squared

## Surface Area of a Cylinder

S=2B+Ch=2 pi r squared+2pirh

B=2 pi r squared

B=2(pi*5 squared)

B=2(78.5)

B=157

S=2(157)+Ch

C=2 pi r

C=2(15.7)

C=31.4

S=2(157)+(31.40)h

S=314+314

S=628 cm squared

on video go to 3:30 min

Cylinder Volume and Surface Area

## surface area of a cone

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

## 10-5

## Vocabulary

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

S=(25)+1/2*(5)*(4)

S=(25)+1/2*20

S=25+10

S=35 units squared

## 10-6

## Vocabulary

- Volume-the measure of the amount of space it occupies

## 10-7

## Vocabulary

- no vocabulary

## Volume of a Cone

V=1/3Bh

B=pi*r squared

B=pi*3 squared

B=pi*9

B=28.3

V=1/3*28.3*h

V=1/3*28.3*8

V=1/3*226.4

V=75.5 cm cubed

Volume of a Sphere