Math 512
Ms. Ghitelman
Name _____________________
WORKSHEET-SURFACE AREA OF
PRISMS, CYLINDERS, PYRAMIDS AND CONES
Use correct units. MISSING OR WRONG UNITS = LOST POINTS
Show your work for partial credit.
Unless otherwise indicated, leave all answers in simplified radical form or in terms of ! .
I. Answer the questions about each shape below.
1. Find the lateral area of the prism below:
[2 pts]
LA=
5 ft
14 ft
16 ft
2. Find the lateral area and surface area of the prism below:
[4 pts]
20 m
LA=
SA=
Surface Area Quiz
Page 2
Math 512
3. One base of a cylinder has a circumference of 10 ! centimeters. The height of the cylinder
6 cm.
[4 pts]
a) Draw a diagram of the cylinder and label its height and radius.
b) What is the lateral area of the cylinder?
c) What is the surface area of the cylinder?
4. For the trapezoidal prism, find the lateral area and total area:
[5 pts]
15 cm
10 cm
12 cm
11 cm
8 cm
7 cm
LA=
SA=
Surface Area Quiz
Page 3
Math 512
5. Find the total surface area of:
[5 pts]
24m
18 m
32 m
6. An equilateral triangular pyramid has base edges of 12 cm and lateral edges of 8 cm.
[6 pts]
a) Find the slant height of this pyramid
b) Find the lateral area of this pyramid
c) Find the area of the base
d) What is the total surface area of this pyramid?