12-1 Prisms

1
12-1 Prisms

• Answers to Warm Ups
• 1) 16
• 2) 10
• 3) 9v3
• 4) 48
• 5) 6

2
Prism

• 3-dimensional object with 2 bases (they can be
  any shape) and rectangular sides.

Box
Right Prisms
Rectangular Prism
Octagonal Prism
Cube
Triangular Prism
3
Oblique Prism

• Slanted

Leaning Tower of Pisa
4
Area
units2

• Before space inside a 2-dimensional object
• Surface Area area on the outside of
  3-dimensional object
• Lateral Area area of sides of object
• LA ph
• Total Area area of sides area of 2 bases
• TA LA 2B

Painting the Walls
Wrapping a Present
5
Example
BASE
2
4

• Find LA and TA

LA pH
TA LA 2B
6
2
BArea of base
Of base H is height of prism
4
B 2(4) 8
p 2(4) 2(2) 12
TA 72 2(8) 88
LA 12(6) 72
6
Volume
BASE
2
units3
4

• Space inside a 3-dimensional shape
• V Bh
• Example

Filling a Container
V BH
B 2(4) 8
6
V 8(6) 48
2
Area of base
4
7
TOO

• Find the lateral area and total area of a cube
  with sides 7.

LA 196
7
TA 294
7
7
8
TOO

• Find the volume of a cube with sides 7.
• 343
• Homework
• Page 478 1-14, 17-19
• Remember to separate the base from the prism