1. Unit 3: Volume and Optimization

2. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Learning Goals:
I can determine the volume of prisms
I can determine the volume of cylinders
I can use Pythagorean Theorem to find missing measurements required for calculating volume

3. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Prism: Has two identical ends and two flat sides

4. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Pyramid: Has a polygon base and triangular sides that meet at a point

5. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
To calculate the volume of a prism or cylinder, imagine repeatedly adding the base area of the shape.

6. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Volume of a prism or a cylinder = area of base × height

7. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Step one: Calculate the area of the base
Step two: Multiply the base area by the height
4 cm
5 cm
6 cm

8. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
EQAO Formula Sheet

9. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
EQAO Formula Sheet

10. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders

11. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders

12. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders

13. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders

14. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
How do you calculate the area of a triangle? (This is important to know if you have a triangular based prism)

15. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Determine the area of this triangle
10 cm
6 cm

16. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Determine the volume of this triangular prism

17. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Determine the volume of this cylinder

18. Lesson 1: Volume of Prisms and Cylinders
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Lesson 1: Volume of Prisms and Cylinders
Homework
Pg. 23 # 1- 8