Today

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Todays Class

• Problem of the Day
• Cavalieris Principle
• Volume of a Prism
• Volume of a Cylinder
• HW Pg.513, Q7-20

2
Problem of the Day
Formulae LA p h TSA LA 2B Area of B ½ap
10

• Find
• The Lateral Surface Area
• The Total Surface Area

3
5
3
Cavalieris Principle
If 2 solids have the same vertical height, and if
the cross sections formed by every plane parallel
to the bases of both solids have equal areas,
then the 2 solids have the same volume.
4
Volume?
2
3
6
5
Volume of Rectangular Prism
Area of Base x height length x width x height
B h
l w h
h
w
l
6
Any Prism
V B h
3
4
B ½ (3 x 4) 6 h 3 V 6 (3) 18
3
5
7
Volume?
V B h (2 x 4) x (3) 24 (2 x 3) x
(4) 24 (3 x 4) x (2) 24
3
2
4
8
Volume?
15
9
12
9
Volume?
Bases are Isosceles trapezoids
2
B ½ (4) (2 8) 20 h 3 V 20 (3) 60
5
3
4
8
10
Volume of Cylinder
V B h B ? r2 V ? r2 h Not same
as prism!
height
radius
Volume (area of Base) x height same as prism!
11
Area and Volume?
TA LA 2B LA 2 ? r h 2 ? (4) (8)
64 ? B ? r2 16 ? TA 64 ? 32 ?
96 ? V B h 16 ? (8) 128 ?
8
r 4
12
Volume?
2
2 ½
13
Find the volume
Formulae V B h Area of B ½ap
10
3
5
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(No Transcript)
15
Todays Class

• Problem of the Day
• Review Slides
• Worksheet
• HW Finish Review Worksheet

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Problem of the Day
Find the Total Surface Area AND the volume
9
6
25
17
Find the Total Surface Area AND the Volume
10
4
15
18
Find the Total Surface Area AND the volume
36
6
19

• Review Worksheet