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14.4 Surface Area
How do we find the surface area of a solid figure?
8 cm
6 cm
10 cm
What is a net?
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Let
A = area of base
P = perimeter of base
h = height of solid
Right Prism
SA = 2A + Ph
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Let s = slant height
Right Pyramid
SA = A + 0.5Ps
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Right Circular Cylinder
Right Circular Cone
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Sphere
The Greek mathematician
Archimedes discovered that the
surface area of a sphere is the same
as the lateral surface area of a
cylinder having the same radius as
the sphere and a height the length of
the diameter of the sphere.
Another way to look at it is the ratio of
surface area of the sphere to the entire
surface area of the smallest cylinder
containing the sphere is 2/3.
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