Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each...

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Cornell Notes Today Cornell Notes Today 3.15 - Volume 3.15 - Volume

Transcript of Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each...

Page 1: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

Cornell Notes TodayCornell Notes Today

3.15 - Volume3.15 - Volume

Page 2: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.
Page 3: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.
Page 4: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume V will be:

Cube

Page 5: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

Rectangular PrismRectangular Prism

A rectangular solid has the width w, length l and height h. The volume V for this solid is the multiplication of the width, height and length together.

Page 6: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

Find the volume of the prism.                     

Page 7: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

Triangular PrismTriangular Prism

Volume of prism = Area of base × length

Page 8: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

CylinderCylinder

For a cylinder that has the radius r and height h, its volume will be:  Formula

Page 9: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

Find the volume of the cylinder in terms Find the volume of the cylinder in terms of π.of π.

                  

Page 10: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

ConeCone

Formula

Consider a cone with the base radius r and height h. The volume V for this solid is simply:

Page 11: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

PyramidPyramid

Now, for a pyramid with the width w, length l and height h, the volume, V of the pyramid will be:  

Page 12: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

1. Find the volume of the pyramid.

                    

Page 13: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.

HomeworkHomework

Page 251 #1, 9, 12 aPage 251 #1, 9, 12 a

Write Summary for NotesWrite Summary for Notes

Page 14: Cornell Notes Today 3.15 - Volume. All the sides (edges) of a cube have the same length. If each side has the length a, the formula for the volume.