111100 cap volume
TRANSCRIPT
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Warm-up
Wrap It
Powerpoint
Volume
Guided Practice
Fill It
Geometric
Properties of
3-DimensionalFigures
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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.
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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.
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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.
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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
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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
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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
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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
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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
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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
2
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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
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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
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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.
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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