chapter 11 surface areas and volumes. exploring three dimensional figures 11.1
TRANSCRIPT
Chapter 11
• SURFACE AREAS AND VOLUMES
Exploring three dimensional figures
11.1
Different views
Corner view
prisms
Platonic solids
• Because Plato described them so fully in his writings.
Cross section
Cross section
11.2
• Nets and Surface Areas
Isometric dot paper
Warm up
• Draw and Find the surface area of the figure
This is a NET
A good way to start drawing a prism
Draw a figure from 2 different perspectives
Class assignment: create a real figure using isometric dot paper.
C grade example(not creative at all)
B grade example
A grade example
More A grade examples
More A grade examples
A grade example
A grade examples
A examples
Worth: an exam gradeDue: March 22nd 2012
it must be constructed using isometric dot paper
More A grade exmples
Warm up 3/23/12• SUPREME Acrylic Latex Flat House
Paint can be used over new or previously painted surfaces in good condition. It is formulated to cover most surfaces in one coat when applied at the rate of four hundred square feet per gallon. Acrylic Latex House Paint dries dust and bug free in thirty minutes. It provides a durable and protective finish on any properly primed and prepared exterior surface, including wood, hardboard, masonry, metals and galvanized metals . Use on exterior siding, foundations, fascia, shutters or retaining walls.
• How many gallons should I buy to paint the house?
11.3
• Surface Area of prisms and cylinders
Lateral Area of a Right prism
• L=Ph• L: lateral area• P: perimeter of the base• h: height of the prism
• Example 1: Find the lateral area of the right hexagonal prism, shown i
Total Surface Area of a Right Prism
Total surface area: LA+2BT= Ph+2B
• Example 2: Find the total area of the triangular prism, shown in Figure 2 .
•
Figure 2 A (right) triangular prism.
• The base of this prism is a right triangle with legs of 3 ft and 4 ft
•
• The perimeter of the base is (3 + 4 + 5) ft, or 12 ft.
• Because the triangle is a right triangle, its legs can be used as base and height of the triangle.
• The altitude of the prism is given as 2 ft. Therefore
Lateral area of a cylinder
• If a cylinder is pictured as a soup can, its lateral area is the area of the label. If the label is carefully peeled off, the label becomes a rectangle.
• find (a) LA (b) TA
Warm up3/26/12
• Find the lateral and surface area of the figure:
Exam check
Weekend Hw collection
11.4
• Surface Area of pyramids and cones
• H: height• R:radius• S: slant height or “l”
Find the lateral area
Find the surface arear=4
Find its lateral and surface area
C is the hypothenuse!
Hw: its on the calendar online. # 1-10 all
due: march 27 2012
3/27/12#1-6 all. No work, no grade.
Take out a separate piece of paper. This is a quiz. Open notebook.
• 6/6= 100• 5/6=83• 4/6=67• 3/6=50• 2/6=33• 1/6= 16
11.5 volumes of prisms and cylinders
Find the volume
Find the volume
Find the volume
Volume of a cylinder
Find the volume
Find the volume
Hw due March 28 2012
Warm up3/28/12
Hw check and collection
Hand exams back
11.6 volumes of cones and pyramids
To be turned in by the end of class
Announcement: students who have not taken the
quiz. You have until today to take it before you receive a zero
Warm up3/29/12
11.7
• Surface Area and Volumes of Spheres
Warm up3/30/12
find the volume of the figure
Warm up #2
• Find the volume
Warm up # 3
• Find the volume
Warm up #4
• Find the variable
Warm up# 5
are you ready to start behaving?
11.8 Congruent And Similar Solids
Similar Solids: Solid shapes with the same shape, different size
The two pyramids are similar because the scale factors of each corresponding linear measurements are the same
Find the missing values
If the scale factor is 1:1 , then the solids are _______________Congruent
Determine if the solids are similar, congruent, or neither
Similar
Not similar Not similar
What is that scale factor of these prisms?
Does it matter which set we use?
These are the a:b numbers which indicates the linear ratio of the sides
Use SA= Ph + 2B for both figures
Using radicals video
• http://www.youtube.com/watch?v=zKE46XejGZU
