volume of prism and pyramid and cones.notebook
May 28, 2012
May 28­11:52 AM
Brainstorming
Surface Area
Volume
Measurement
Pyramids
Prisms
Jun 2­7:38 AM
1
volume of prism and pyramid and cones.notebook
May 28, 2012
What is volume?
Jun 1­8:13 PM
What is surface area?
Jun 1­8:13 PM
2
volume of prism and pyramid and cones.notebook
May 28, 2012
What is a prism?
Jun 1­8:14 PM
What is a pyramid?
Jun 1­8:14 PM
3
volume of prism and pyramid and cones.notebook
May 28, 2012
May 28­12:27 PM
How can you model the surface area and volume of a pyramid?
A: Surface Area
Look at 3D shapes and discuss how your group would calculate surface area
B: Volume
Look at 3D shapes and discuss how your group would calculate volume
What is the difference between surface area and volume?
Jun 1­8:15 PM
4
volume of prism and pyramid and cones.notebook
May 28, 2012
•
Surface Area is a measure of how much material is required to cover or construct a three­dimensional object. Expressed in square units
•
The surface area of a prism or pyramid is the sum of the areas of the faces
Jun 1­8:21 PM
•
•
Volume is the amount of space than a 3D object occupies.
1L = 1000 cm3
Prism: V = area of base(height)
Pyramid: V = 1/3(area of base)(height)
height
height
base
base
Jun 1­8:23 PM
5
volume of prism and pyramid and cones.notebook
Your mom cooked beans for dinner last night. If you only eat half the can how many beans are left over for your lunch today?
May 28, 2012
h = 12 cm
r = 5 cm
Volume = area of base x height
base = circle
So Volume = πr2h
V = π(5)212
= π(25)(12)
2
= 471.3 cm3
Feb 8­5:15 PM
How much more expensive should the large aquarium be than the small aquarium if the cost is based on the volume?
V of Small = 16x8x12
= 1536 in3
Volume of large = 32 x 16 x 24
= 12288 in3
12288/1536 = 8
Therefore, the large aquarium should be 8 times more expensive than the small.
May 31­7:59 AM
6
volume of prism and pyramid and cones.notebook
May 28, 2012
Determine the volume of the cabin. Show your work.
Volume of the Prism
Volume of pyramid
V = 6x6x3
= 108 m3
V = 6 x 6 x 2
3
V = 72
3
V = 24 m3
Total Volume V = 108 + 24
= 132 m3
May 31­7:58 AM
What about a cone? How do you think it's related to a cylinder?
May 28­8:39 AM
7
volume of prism and pyramid and cones.notebook
May 28, 2012
Surface Area of a Cone:
slant length
Volume of a Cone:
Volume of o a Cone
If you know the height and radius you can use pythagorean theorem to find the slant height.
May 28­8:42 AM
Homework
Page 441 #1­4, 6,9
Page 447 #1­7
Page 454 ##1­4, 9
Jun 1­8:40 PM
8
volume of prism and pyramid and cones.notebook
May 28, 2012
Jun 2­7:40 AM
9