Pre-Algebra
Unit 9: Volume
Surface Area of Pyramids, Cones, and Spheres
Name:
Worksheet 9.3
Find the surface area of each geometric solid.
1.
8.5 in
8 in
6 in
6 in
2. Be sure to include the circular base of this cone.
20 cm
25 cm
3.
10 cm
12 cm
4.
8 in
Check yourself: When you add the answers for 1 through 4 the total should be 3416.44
over
5. The average radius of the Earth is 6381 km. The average radius of the
Moon is 1737 km. About 30% of the Earth’s surface is not covered with
water. 100% of the Moon’s surface is not covered with water. Does the
Earth or Moon have more surface area not covered with water?
6. Compare the lateral areas of various pyramids with the same base perimeters. Recall
that the lateral area of an object is the total area of the sides of the shape, not including
the base(s). For every pyramid, the perimeter of the base is 24 inches, and the slant
height is 10 inches. Each base is a regular figure – all the sides are the same length.
a. triangular based pyramid
b. square based pyramid
c. 12-sided based pyramid
d. 24-sided based pyramid
e. -sided based pyramid (a cone)