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Geometry
Surface Area of Rectangular Prisms
Surface Area
Surface Area – the total area of all the surfaces, or faces, of an object.
To find the surface area of an object we can add up the areas of the separate faces.
lw
h
Surface Area
Example: This is a rectangular prism. The l, w and h have different values.
lw
h
Do any of the sides have the same size and shape?
Surface Area
In a rectangular prism there are three pairs of opposite and equal sides.
lw
h
We can find the surface area of this prism by adding the areas of the two brown sides (A), the two green sides (B) and the two red sides (C).
C
BA
Surface Area
We should use a table to tabulate the various areas.
5cm3cm
4cm
Example: Side Area Number of Sides
Total Area
A
B
C
TOTAL
C
BA
Surface Area
We should use a table to tabulate the various areas.
5cm3cm
4cm
Example: Side Area Number of Sides
Total Area
A 20cm2 2 40cm2
B
C
TOTAL
C
BA
Surface Area
We should use a table to tabulate the various areas.
5cm3cm
4cm
Example: Side Area Number of Sides
Total Area
A 20cm2 2 40cm2
B 12cm2 2 24cm2
C
TOTAL
C
BA
Surface Area
We should use a table to tabulate the various areas.
5cm3cm
4cm
Example: Side Area Number of Sides
Total Area
A 20cm2 2 40cm2
B 12cm2 2 24cm2
C 15cm2 2 30cm2
TOTAL
C
BA
Surface Area
We should use a table to tabulate the various areas.
5cm3cm
4cm
Example: Side Area Number of Sides
Total Area
A 20cm2 2 40cm2
B 12cm2 2 24cm2
C 15cm2 2 30cm2
TOTAL
6 94cm2
C
BA
Surface Area
Now you try...find the surface area!
1.9cm
3.2cm
2.8cm
Example:
C
B
AB
C
Side Area No of Sides
Area
Total
Surface Area
Can we calculate a formula for the area of a rectangular prism?
Surface Area
Formula – Surface Area of a Rectangular Prism
SA = 2lw + 2wh + 2lh