thursday, december 5 th if i go to school, then i see my friends. 1.write the converse 2.write the...
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Thursday, December 5th
If I go to school, then I see my friends.
1. Write the converse 2. Write the
contrapositive
Warm Up
Weekly ReviewDue TOMORROW
Must show work on separate sheet of paper!
3-D Figures Formula Sheet
Homework Answers
Think,Pair,
Share
3-D Shape
Whiteboard Review
Question
How many faces?
Answer
5
Question
How many vertices?
Answer
4
128
9
Find the Volume
864
Find the EXACT area.
r = 12 feet
144π
What is the formula for Surface Area of a
Sphere
24SA r
8 cm
Surface Area of a Sphere(round to the nearest hundredths)
SA4 r2
SA=201.06 cm²
A sphere is inscribed in a cube of volume 125 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.
SA=78.54 m²
What is the Volume of a
Sphere
343
V r
12 cm
Volume of a Sphere
(round to the nearest hundredths)
343
V r
V=603.19 cm³
Part 1: Volume of Prisms
What is volume?!
• Volume- The number of cubic
units needed to Fill a space
• Volume is measured in cubic units (ex: in3)
To find the volume of any prism, you can use the
formula V= Bh
Where B is the area of the base, and h is the prism’s
height.
B depends on the shape!
• The base of a RECTANGULAR prism is a rectangle so the base is: l x w
• To find the volume of a triangular prism, B is the area of the triangular base so the base is: ½ x b x h
B is for BASE
V = lwh Write the formula.
V = 29 • 12 • 16 l = 29; w = 12; h = 16
Multiply.V = 5,568 in3
16 in.
29 in.
12 in.
#1 You Try!A=bh
B= l x w
A rectangular prism with base length 6 ft, width
5 ft, and height 7 ft
#2 You Try!A=bh
B= l x w
V = Bh Write the formula.
V = ( • 3.9 • 1.3) • 412__ B = • 3.9 • 1.3; h = 4.1
2__
Multiply.V = 10.14 m3
#3 Try Together!A=bh
B= ½ x b x h
The bases of a prism are always two congruent, parallel polygons.
Caution!
V = Bh Write the formula.
V = ( • 6.5 • 7) • 612__ B = • 6.5 • 7; h = 6.1
2__
Multiply.V = 136.5 ft 3
#4 You TryA=bh
B= ½ x b x h
Part 1: Volume of a Cylinder
tttttttttttt
Recall-Circle Area
To find the volume of a cylinder, you can use the same method as you did for prisms: Multiply the area of the
base by the height.
volume of a cylinder = area of base height
The area of the circular base is r2, so the formula is V = Bh = r2h.
Write the formula.
Replace with 3, r with 4, and h with 7.Multiply.V 336
V = r2h
V 3 42 7
The volume is about 336 ft3.
JUST WATCH
10 cm ÷ 2 = 5 cm Find the radius.
Write the formula.
Replace with 3, r with 5, and h with 11.Multiply.V 825
V = r2h
V 3 52 11
The volume is about 825 cm3.
#1 TRY TOGETHER
Multiply.V 540
The volume is about 540 ft3.
6 ft
5 ft
Write the formula.
Replace with 3, r with 6, and h with 5.
V = r2h
V 3 62 5
#2 YOU TRY
Multiply.V 288
8 cm ÷ 2 = 4 cm
The volume is about 288 cm3.
Find the radius.
8 cm
6 cm
Write the formula.
Replace with 3, r with 4, and h with 16.
V = r2h
V 3 42 6
#3 YOU TRY