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Warm-up

Wrap It

Powerpoint

Volume

Guided Practice

Fill It

Geometric

Properties of

3-DimensionalFigures

8/7/2019 111100 Cap Volume


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

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Volume

What is volume?

Volume is the number of cubic units it takes

to fill a figure.

8/7/2019 111100 Cap Volume


8/7/2019 111100 Cap Volume


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


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


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


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


Volume



Triangular Prism

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

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Volume



Cylinder

V = Bh or V = ( x r x r) x h

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Volume



Square Pyramid

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

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Volume



Triangular Pyramid

V = Bh or

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

2

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Volume



Cone

V = Bh = ( x r x r) x h1

3

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Volume



Sphere

V = x r x r x r 4

3

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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


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

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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

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THE END

Geometric

Properties of

3-DimensionalFigures

111100 cap volume

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