Download presentation

Presentation is loading. Please wait.

Published byIsai Tetterton Modified over 2 years ago

1
Chapter 12

2
Section 12-1

3
Also called solids Enclose part of space

4
Solids with flat surfaces that are polygons

5
Faces – 2-dimensional surfaces formed by polygons Edge – where 2 faces intersect Vertex – the point where 3 or more edges intersect

6
Two parallel faces called bases that are congruent polygons Other faces are called lateral faces Lateral faces intersect in lateral edges

7
All faces except the base intersect at the vertex The triangular faces that meet at the vertex are called lateral faces

8
The two bases are congruent, parallel circles The lateral surface is curved

9
The base is a circle The lateral surface is curved The point is called the vertex

10
Section 12-2

11
Lateral Area - The sum of the areas of its lateral faces Surface Area – The sum of the areas of all its surfaces

12
Lateral Area of a Prism L = Ph P= perimeter of the base h= height of the prism

13
Surface Area of a Prism S = Ph + 2b B = area of the base

14
Lateral Area of a Cylinder L = 2 rh r = radius of the base h= height of the cylinder

15
Surface Area of a Cylinder S = 2 rh + 2 r 2

16
Section 12-3

17
The measurement of the space contained within a solid figure

18
Volume of a Prism V = Bh B = area of the base h = height of the prism

19
Volume of a Cylinder V = r 2 h r = radius of the base h = height of the cylinder

20
Section 12-4

21
The segment from the vertex perpendicular to the base In a right pyramid or cone, the altitude is perpendicular to the center In an oblique pyramid or cone, the altitude is perpendicular at another point

22
A right pyramid whose base is a regular polygon

23
The height of each lateral face of a pyramid Represented by l

24
Lateral Area of a Regular Pyramid L = ½ Pl P = perimeter of the base l = slant height

25
Surface Area of a Regular Pyramid S = ½ Pl + B B = area of the base

26
Lateral Area of a Cone L = rl r = radius of the base l = slant height of the cone

27
Surface Area of a Cone S = rl + r 2

28
Section 12-5

29
Volume of a Pyramid V = 1/3Bh B = area of the base h = height of the pyramid

30
Volume of a Cone V = 1/3 r 2 h r = radius of the base h = height of the cone

31
Section 12-6

32
A sphere is a set of all points that are a given distance from a given point called the center.

33
A line that intersects the sphere at exactly one point

34
Surface Area of a Sphere S = 4 r 2 r = radius of the sphere

35
Volume of a Sphere V = 4/3 r 3

36
Section 12-7

37
For similar solids, the corresponding lengths are proportional, and the corresponding faces are similar.

38
If two solids are similar with a scale factor of a:b, then the surface areas have a ratio of a 2 :b 2 and the volumes have a ratio of a 3 :b 3

Similar presentations

Presentation is loading. Please wait....

OK

Chapter 11: Surface Area & Volume

Chapter 11: Surface Area & Volume

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google