Name ________________________________________ Date __________________ Class __________________
LESSON
3-3
Surface Area of Pyramids and Cones
Practice and Problem Solving: C
Find the surface area of each figure. Show your work.
1. The square pyramid to the right has a base length of b and
a slant height of A. The gray plane is parallel to the base and
b
2
and a frustum below. Show two different ways to calculate
the lateral surface area of the frustum.
cuts the pyramid into a smaller pyramid above with base
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2. Find the surface area of the cone and then of the truncated
cone (the bottom part after the top is sliced off by the plane).
The cone has a radius of r and slant height of A. The height of
A
the truncated cone is half the height of the cone.
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3. Compare the lateral surface area of the big cone with the lateral
surface area of the little cone and of the truncated cone.
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Find the surface area of the composite shapes. Show your work.
4. Square pyramid inside a cone
side of square base = 6 cm
slant height of pyramid = 5 cm
slant height of cone = 5.8 cm
5. Double cone
radius of base: 12
height of left cone: 16
height of right cone: 5
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