111100 cap volume

18
Warm-up Wrap It Powerpoint Volume Guided Practice Fill It Geometric Properties of 3-Dimensional Figures

Upload: tara-brown

Post on 08-Apr-2018

216 views

Category:

Documents


0 download

TRANSCRIPT

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 1/18

Warm-up

Wrap It

Powerpoint

Volume

Guided Practice

Fill It

Geometric

Properties of 

3-DimensionalFigures

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 2/18

Wrap It(Warm Up)

Find the surface area of the box.

5 cm 2 cm

1

3

2 cm25

S = Ph +2B

= [2(5) + 2(2 )] 2 + 2(5 x 2 )

= 58 cubic centimeters

13

25

13

8 15

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 3/18

Volume

What is volume?

Volume is the number of cubic units it takes

to fill a figure.

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 4/18

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 5/18

Volume

How can we find the volume of any

solid figure?

The volume of any solid figure is the

area of the base of the figure times

the height of the figure.

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 6/18

Volume

In a formula, what is the difference betweenthe lower case b and the captital B. Give an

example in your explanation.

The lower case b refers to the height of thebase of a figure; the capital B means the height

of the figure itself.

Example: Volume of a triangular pyramid: V =Bh = area of the base of the figure x height of 

the figure = base of the triangular base x height

of the triangular base x the height of the figure.

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 7/18

Volume

Use your formula chart to completely write

out the formulas for finding volume of 

each figure. Cube

V = Bh or V = (s x s) x height of prism

or V = side cubed 

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 8/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Rectangular Prism

V = Bh or V = (l x w) x height of prism

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 9/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Triangular Prism

V = Bh or V = (l x w) x height of prism

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 10/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Cylinder 

V = Bh or V = (   x r x r) x h

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 11/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Square Pyramid

V = Bh or V = (s x s) x height of pyramid 

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 12/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Triangular Pyramid

V = Bh or 

V = ( b x height of triangle) x height of pyramid 

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 13/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Cone

V = Bh = ( x r x r) x h1

3

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 14/18

Volume

Use your formula chart to completely write out

the formulas for finding volume of each figure.

Sphere

V =   x r x r x r 4

3

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 15/18

Fill It(Guided Practice)

1. What is the total number of cubes,

including the cubes already shown,

needed to fill the closed box below.

45 cubes are needed to fill the

box.

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 16/18

Fill It(Guided Practice)

Below are side and top views of a triangular prism with bases that are equilateral

triangles.

2. What is the volume of the prism?

3. How did you find the volume?

Side view

Top view

10 cm

15 cm10 cm

8.7 cm1

3

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 17/18

Fill It(Guided Practice) Key

2. What is the volume of this prism?V = 667 cubic cm

2. How did you find the volume? The area

of the base is 43.5 sq.cm. Multiply thisby the height.

10 cm

Side view

Top view

15 cm10 cm

8.7 cm1

3

8/7/2019 111100 Cap Volume

http://slidepdf.com/reader/full/111100-cap-volume 18/18

THE END

Geometric

Properties of 

3-DimensionalFigures