FPC 10:
Surface Area and Volume Worksheet
1. The slant height of a square pyramid is 25 cm. If the base has an area of 49 cm2, determine the
volume of the pyramid
2. The triangular prism below has a base of 10 cm, a width of 4 cm, and a height of 0.05 m.
a. Draw its net
b. Calculate the surface area
3. Calculate the surface area of a sphere with a diameter of 12 cm.
4. Calculate the radius of a sphere with a volume of 972π in3
5. A golf ball with a diameter of 5.0cm just fits in a box in the shape of a cube. Calculate the ratio of
the surface area of the golf ball to the surface area of the box.
6. The Trans-Alaska Pipeline System transports oil across Alaska. One of the pipes in the system has a
diameter of 1.5 m and a volume of 106 m3. Determine length of the pipe rounded to the nearest
tenth of a metre.
7. In preparation for a party, a spherical balloon is blown up from a diameter of 10cm to a diameter of
30cm. By how many times has its surface area increased?
8. The slant height of a cone is 14 cm. If the circumference of its base is 23 cm, determine the volume
of the cone to the nearest whole number.
9. A cylinder has a volume of 320π cm3 and a height of 5 cm. Find the radius of the cylinder.
10. The total surface area of a right circular cone is 90 π cm2. Its radius is 5 cm. What is the volume of
the cone?
11. Find the total surface area of a regular pyramid whose height is 15 cm and whose base is a square
with sides 16 cm.
12. The volume of a cube is 15.625 cm3. Find the surface area.
13. The volume of a cylinder with height 15 cm is 424.12 cm3. Calculate the surface area.
Extend:
14. Calculate the surface area and the volume.
Answers:
1. 404.3 cm3
2. b) 154.7 cm2
3. 452.4 cm2
4. 9 inches
5.
:6
6. 60 m
7. 9 times
8. 189.5 cm3
9. 8 cm
10. 100
13. 339 cm2
14. SA = 210 cm3 Vol = 980.2 cm3
or 314 cm3 11. 800 cm2
12. 37.5 cm2