Unit 3: Volume and Optimization

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Presentation transcript:

Unit 3: Volume and Optimization

Lesson 1: Volume of Prisms and Cylinders MFM1P 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

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Prism: Has two identical ends and two flat sides

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Pyramid: Has a polygon base and triangular sides that meet at a point

Lesson 1: Volume of Prisms and Cylinders MFM1P 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.

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Volume of a prism or a cylinder = area of base × height

Lesson 1: Volume of Prisms and Cylinders MFM1P 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

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders EQAO Formula Sheet

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders EQAO Formula Sheet

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders

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)

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Determine the area of this triangle 10 cm 6 cm

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Determine the volume of this triangular prism

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Determine the volume of this cylinder

Lesson 1: Volume of Prisms and Cylinders MFM1P Lesson 1: Volume of Prisms and Cylinders Homework Pg. 23 # 1- 8