U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and...

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U8 L9 Volume of Prisms and Cylinders Lesson.notebook Students will be use their knowledge of the area of 2D figures to find the volume of 3D figures! U8 L9 Volume Prisms and Cylinders Day 1 Day 2 Volume of composite figures

Transcript of U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and...

Page 1: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Students will be use their knowledge of the area of 2­D figures to find the volume of 3­D figures!

U8 L9 VolumePrisms and Cylinders

Day 1

Day 2­ Volume of composite figures

Page 2: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Volume = (Area of base) x Height

The base can be any shape!

V=(A o B)hV=Bh or

a capital B in Geo is often used for the area of the base!

  

These stacks have the same height and every cross section parallel to the base has the area of one sheet of paper.  This means the stacks have the same volume!

Think about the volume of these...

Page 3: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Page 4: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Find the volume of the triangular prism.

Page 5: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

volume = (area of base) x height

Find the volume of the prism below.

Page 6: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

A rectangular prism shaped box has a length of 14 inches, a width of 18 inches and a height of 2 feet.  Find the volume of this prism to the nearest cubic foot. 

A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 48 inches.  The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot.  What is the weight, in pounds, of the contents in the container?

Page 7: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Trees that are cut down and stripped of their branches for timber are approximately cylindrical.  A timber company specializes in a certain type of tree that has a typical diameter of 50 cm and a typical height of about 10 meters.  The density of the wood is 380 kilograms per cubic meter, and the wood can be sold by mass at a rate of $4.75 per kilogram.  Determine and state the minimum number of whole trees that must be sold to raise at least $50,000.

14. 15.

What about the these!

Page 8: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Page 9: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

Extra Practice

Page 10: U8 L9 Volume of Prisms and Cylinders Lesson.notebook · 2019-04-11 · U8 L9 Volume of Prisms and Cylinders Lesson.notebook A rectangular prism shaped box has a length of 14 inches,

U8 L9 Volume of Prisms and Cylinders Lesson.notebook

12. 13.

U8 L9 HW