unit 3: volume and optimization. mfm1p learning goals: i can determine the volume of prisms i can...

Unit 3: Volume and

Optimization

MFM1P

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

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

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Lesson 1: Volume of Prisms and Cylinders

Pyramid: Has a polygon base and triangular sides that meet at a point

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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.

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Lesson 1: Volume of Prisms and Cylinders

Volume of a prism or a cylinder = area of base height

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Lesson 1: Volume of Prisms and Cylinders

Step one: Calculate the area of the baseStep two: Multiply the base area by the height

4 cm

5 cm

6 cm

MFM1PLesson 1: Volume of Prisms and Cylinders

EQAO Formula Sheet

MFM1P

Lesson 1: Volume of Prisms and Cylinders

EQAO Formula Sheet

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Lesson 1: Volume of Prisms and Cylinders

MFM1P

Lesson 1: Volume of Prisms and Cylinders

MFM1P

Lesson 1: Volume of Prisms and Cylinders

MFM1P

Lesson 1: Volume of Prisms and Cylinders

MFM1P

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)

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Lesson 1: Volume of Prisms and Cylinders

Determine the area of this triangle

6 cm

10 cm

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Lesson 1: Volume of Prisms and Cylinders

Determine the volume of this triangular prism

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Lesson 1: Volume of Prisms and Cylinders

Determine the volume of this cylinder

MFM1P

Lesson 1: Volume of Prisms and Cylinders

Homework

Pg. 23 # 1- 8