Transcript Geometry review 2

Geometry
Review
Part 2
TRIANGLES
In regards to ANGLES
• Right
-Has 1 right angle
• Obtuse
-Has 1 obtuse angle
• Acute
-Has all acute angles
In regards to SIDES
• Equilateral
- all equal sides
• Isosceles
- 2 equal sides
• Scalene
– No equal sides
The hypotenuse of a right triangle will
never equal the length of one of the legs.
The legs form the right angle.
Volume
• Number of cubic units in an object.
• Label =
units3
• Basic formula that works for
anything:
Area of the Base x Height=Volume
More Volume
information
• All of the bases of a geometric prism need
to be the same exact size and shape until we
study other shapes later.
• A cube has layers of squares.
• A rectangular prism has layers of rectangles
• A triangular prism has layers of triangles
• A cylinder has layers of circles.
Cube
1.
2.
3.
4.
5.
6.
Draw the picture
What type of base does
it have?
A square, find its area.
Are all the Layers the
same?
How many Layers are
there?
How do you finish the
volume now?
7. 4 x 4 = 16 x 4 =
64
4 in
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Rectangular Prism
Draw the picture
What type of base
does a rectangular
prism have?
A rectangle
Find the area of the
rectangle;
4 x 3 = 12
How many layers of
those rectangles are
there?
6
Finish finding the
volume now.
4 x 3 = 12 is the area of the
base. Take 12 x 6 =72 that
is multiplying by the
height.
6
4 in
3
Cylinders
6m
• Draw the picture.
• What type of base
does it have?
• Circle, find the area of
it. A = 3.14 x R2
• 3.14 x 9 = 28.26
Area of the Base =
• How many layers of
3.14 x 9 = 28.26
circles are there?
• 10, find the volume. Times the height:
28.26 x 10 = 282.6 m3
10
Triangular prism
• Draw the picture
• It takes layers of what
shape the same size to
make this?
• Triangles
• Find the area of that
triangle.
• 3 x 4/2 = 6
• How many layers of
triangles were there?
• 10, now find the volume
3
5
4
10 m
Area of the base= 3x4/2=6
Multiple by the H = 6 x 10 = 60
m3
Volume
Application
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Is volume used in everyday life?
How is it used and who uses it?
Let’s review:
Volume is the Area of the Base x Height
Not L x W x H that only works for some
things.