Name:______________________________________________________ Date: _______________

Geometry Honors 2011-2012

Solid Geometry

Name:______________________________

Teacher:____________________________

Pd: _______

Table of Contents

DAY 1: SWBAT: Calculate the Surface Area of Prisms

Pgs: 1 - 5 HW: Page 563 #1, 2, 6 - 10

DAY 2: SWBAT: Calculate the Surface Area of Pyramids

Pgs: 6 - 10

HW: Page 567#2, 4, 5, 8, 9, 11

DAY 3: SWBAT: Calculate the Surface Area of Circular Solids

Pgs: 11 - 15

HW: Page 572 #2, 6, 7, 8-10, 12, 13, 14

DAY 4: SWBAT: Review Calculating Surface Area of Three Dimensional Solids

Pgs: 16 - 17

HW: Finish this section!

DAY 5: SWBAT: Calculate the Volume of Prisms and Cylinders

Pgs: 18 - 21 HW: Page 579 #9-13, 15-20

DAY 6: SWBAT: Calculate the Volume of Pyramids, Cones, and Spheres

Pgs: 22 - 25 HW: Page 586#5-9, 12-14, 19-20

Page 590#4, 6, 7, 11 - 14

Day 7: SWBAT: Calculate the Volume and Surface Area of Three Dimensional Figures (REVIEW) Pgs: 26 - 31

Day 8: SWBAT: Calculate the Volume and Surface Area of Three Dimensional Figures (REVIEW) Pgs: 32 - 38

Summary Page

Pg: 39

Extra Credit

Pg: 40

These formulas are given to you…

These aren’t given to you…but are very useful!

Lateral Area for Prism

L = (Perimeter of the base) (Height of the prism) Or L = Ph

Surface Area for Prisms and Cylinders

S.A. = L + 2B

Lateral Area for Pyramids

L =

(Perimeter of the base) (Slant Height) Or L =

Pl

Surface Area for Pyramids

S.A. = L + B

1

SWBAT: Calculate the surface area of prisms – Day 1

Term Definition Diagram

Polyhedron

Faces

Edges

Vertex

2

Rectangular Prisms Lateral Surface

Area Area

Cube

3

1. Find the LA and TA of the rectangular prism shown:

4

Challenge

5

Summary

Exit Ticket

6

SWBAT: Calculate the surface area of pyramids – Day 2

Warm - Up

Pyramids

Hint: The roof will not be painted!

7

The altitude and slant height The altitude and lateral edge

determine a right triangle determine a right triangle

8

Example 1: Find the L.A. and S.A.

Example 2:

Example 3:

9

Challenge

4.

5. Find the total surface area of the figure below.

10

SUMMARY

Find the total surface area

In order to find the total surface area, we looked at the base and the lateral faces:

We found their areas and added them to determine the total surface area of the pyramid:

Exit Ticket

11

SWBAT: Calculate the surface area of circular solids – Day 3

Warm – Up

Calculate the surface area of the solid below.

12

13

Example 1:

Example 2: Find the lateral area and surface area of the cylinder.

Radius _______________

Area of the base _______________

L.A. ____________________

S.A. _____________________

Example 3: Calculate the surface area of the sphere given the area of the circle

inside.

14

Calculate the surface area of each composite figure.

4.

5.

6.

15

SUMMARY

Exit Ticket

a. 6

b. 12

c. 18

d. 36

16

Day 4 – Review of Surface Area

17

18

SWBAT: Calculate the volume of prisms and cylinders - Day 5

Volume

What is volume?

19

Example 1:

Area of the base = ______________

Height of the Prism = ____________

Volume of the Prism = ____________

Example 2: Calculate the volume.

Ex 3:

Ex 4:

20

Challenge

Ex 4: Find the volume of the solids below.

21

Summary:

Exit Ticket:

22

SWBAT: Calculate the volume of Pyramids, Cones, and Spheres - Day 6

Warm - Up

Volume of a Pyramids and Cones

23

1.

2.

24

3.

4.

Challenge

5. The figure shows a can of three tennis balls. The can is just large enough so that the tennis balls will fit inside with the lid on. The diameter of each tennis ball is 2.5 in. Find the volume of empty space inside the can.

25

26

Day 7 – Review

27

28

29

30

31

32

Day 8 – Review #2

What to know for the Chapter 12 Test

Definitions

Polyhedron

Regular polyhedron

Lateral Surface Area

Total Surface Area

Prism

o Right Prism

o Oblique Prism

o Altitude of a Prism

Pyramid

o Base of a Pyramid

o Lateral Faces of a Pyramid

o Altitude of a Pyramid

Sphere

Hemisphere

Cylinder

o Radius of a Cylinder

o Right Cylinder

Cone

o Radius of a Cone

o Altitude of a Cone

o Right Cone

Volume

Postulates

Surface Area of a Sphere

Theorems

Lateral Surface Area of a Cylinder (Theorem 113)

Lateral Surface Area of a Cone (Theorem 114)

Volume of a Prism or Cylinder (Theorem 118)

Volume of a Pyramid or a Cone (Theorems 119 & 120)

Volume of a Sphere (Theorem 122)

Problem Types

Finding Lateral Surface Area and Total Surface Area of Prisms

Finding Lateral Surface Area and Total Surface Area of Pyramids

Finding the Lateral Surface Area and Total Surface Area of Cylinders

Finding the Lateral Surface Area and Total Surface Area of Cones

Finding the Surface Area of a Sphere

Find the Lateral Surface Area and Total Surface Area of a hemisphere

Finding the Volume of Prisms & Cylinders

Finding the Volume of Pyramids & Cones

Finding the Volume of Spheres

Finding Surface Area and Volume of combined shapes (e.g., frustums, prisms & cylinders with holes cut out, spheres with slices cut out, an ice cream cone, etc.)

Determining "surfaces of rotation"

33

Give the appropriate formula for computing the volume, surface area, and lateral area for each 3-D figure. You

should fill this in completely from memory.

Solid Lateral Area Surface Area Volume

Cube

Rectangular prism

Any Prism

Any Regular Pyramid

Hemisphere

34

Part 1: Level B – Solve the following problems. You must show an algebraic setup for every problem on this

review to receive homework credit!

1. The volume of a sphere is 2304 mm3. Find the surface area of the sphere.

2. Find the radius of a sphere whose volume equals its surface area.

3. The cube has a volume of 64 cubic centimeters. Find AB.

35

a) Calculate the volume of your cheese wedge.

b) Calculate the surface area of your cheese wedge.

6)

36

7)

8)

Calculate the surface area and volume of each shape.

9.

10.

11.

37

12.

13.

14. Find the surface area of the composite figure. The figure is a cube with a regular pyramid cut out as shown.

38

Level C – Challenge Questions

15.

16.

39

SUMMARY

40

Name _________________________ Teacher __________ Class/Period _______________

Due: __________________________

Extra Credit

41

HOMEWORK

ANSWERS