1. Area, Surface Area, Perimeter, Volume
GEOMETRY
Area, Surface Area, Perimeter, Volume

2. Area
The number of square units to cover the surface of a geometric figure
Think: covering the floor of a room with carpet
Different area formulas for different shapes
A = 100 sq.units
Always written in terms of units squared or square units (units2)

3. Area = b x h For: Square, Rectangle, Rhombus, and Parallelogram
b = base, the edge it sits on
Area = b x h
h = height, a line that makes a 90o angle with base
To Solve for Area:
A = b x H
height = 3 inches
A = 5 inches x 3 inches
base = 5 inches
A = 15 inches2

4. Area = b x h 2 For: Triangle A = b x h 2 A = 3 feet x 2 feet 2
b = base, the edge it sits on
h = height, a line that makes a 90o angle with base
To Solve for Area:
A = b x h 2
height = 2 feet
A = 3 feet x 2 feet 2
base = 3 feet
A = 3 ft2

5. Area = (b1 + b2) x h 2 For: Trapezoid A = (b1 + b2) x h 2
b1 and b2 = the two parallel lines
h = line that makes a 90o angle with bases
To Solve for Area:
base2 = 7 yards
A = (b1 + b2) x h 2
height = 4 yards
A = (13 + 7) x 4 2
base1 = 13 yards
A = 40 yd2

6. For: Irregular shapes Example 1: Example 2:
Divide the irregular shape into regular shapes.
Find the areas of the regular shapes
Add them together
Example 1:
Example 2:

7. Surface Area
The sum of the areas of all the surfaces (faces) of a 3-D figure
Find the “Net” (the 2-D figures that make up a 3-D figure)
Calculate the areas of the 2-D shapes and add them together

8. Volume The amount of space inside a 3-D figure
How much solid/liquid/gas a 3-D object can hold
Think: filling the classroom floor to ceiling, side to side

9. Volume of a Rectangular Prism
Volume = length x width x height
V = l x w x h
Cubic units or units3
Ex:
Volume = 100 in3
5 in.
2 in.
10 inches

10. is the amount of cubic units that can
What is a Cubic Unit?
VOLUME
is the amount of cubic units that can
fill a shape
1 unit
1 unit
1 unit
= 1 cubic unit
V = 24 units cubed

11. Practice V = 24 feet 3 V = 231 yards3 V = 1 inch3 EX 1: EX 2: EX 3:
5.5 yds
in.
4 ft
3 yds
14 yards
in.
2 ft
1 4 in.
3 ft
V = 24 feet 3
V = 231 yards3
V = 1 inch3