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Day 3 Volume.notebook 1 May 04, 2015

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Page 1: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

Day 3 ­ Volume.notebook

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May 04, 2015

Page 2: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Volume of Cylinders, Spheres, Pyramids and Cones

Page 3: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Volume of Prisms

The most important step in determining the volume of a prism, is identifying first that it is a prism and second what the base is.

A prism is essentially the same base stacked on top of each other over and over again.

To find the volume, we need to find the area of the base and multiply it by the height of the prism.

Page 4: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Determine which of the following are prisms.

Page 5: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Determine the volume.

Page 6: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Determine the volume.

Page 7: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Volume of a Cylinder

Determining the volume of a cylinder is very similar to determining the volume of a prism.

Essentially every cylinder is a just a circle stacked on top of each other over and over again.

Therefore, we need to find the area of the circle and multiply by the height.

Page 8: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example: Determine the volume.

Page 9: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Volume of a Sphere and a Cone

Finding the Volume of a Sphere and a Cone is very similar to a cylinder. 

Make sure you have the radius, NOT the diameter. 

For a cone, you need to have the radius and height.

For a sphere, you only need the radius.

Page 10: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Find the volume.

6 m

8 m

ANSWER

Page 11: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Find the volume.

6 m

8 m

Page 12: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Volume of a Pyramid

Finding the Volume of a Pyramid is very similar to a Prism. 

You have to find the volume of the same based prism and then find one third of it. 

In other words, divide it by 3.

Page 13: Day 3 - Volume.notebook - Weebly · Day 3 Volume.notebook 3 May 04, 2015 Volume of Prisms The most important step in determining the volume of a prism, is identifying first that it

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May 04, 2015

Example:Find the volume.

ANSWER

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May 04, 2015

Example:Find the volume.

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May 04, 2015

Homework

Handout

Page 464 #s 1 ­ 5Page 470 #s 2, 4, 6 & 8a