The document provides examples and instructions for calculating the surface area of various 3D shapes like prisms, cylinders, and other solids. It includes worked examples of finding the surface area of a pentagonal pyramid, can of sloppy joe sauce, and storage chest. Students are assigned worksheet problems to practice calculating surface areas of different objects using formulas for faces, edges and vertices.

1. Lesson 10.4, For use with pages 542-547
Identify the solid.
1.
2. Count the number of faces, edges, and vertices
for the figure.

2. Lesson 10.4, For use with pages 542-547
Identify the solid.
1.
ANSWER pentagonal pyramid
2. Count the number of faces, edges, and vertices
for the figure.
ANSWER 6 faces; 10 edges; 6 vertices

3. Surface Area of Prisms &
Cylinders
Section 10.4
P. 542

4. Find the surface area.
• What measurement
is missing?
• How can you find it?
c2 = a2 + b2
c2 = 32 + 42
c2 = 9 + 16
c2 = 25
c = 5 inches

5. Base: A = b x h ÷ 2
(3x4) ÷ 2= 6
Left: A = b x h
5 in 2x3=6
Right: A = b x h
2x4=8
Front: A = b x h
2 x 5 = 10
6 + 6 + 6 + 8 +10 = 36 ft s q.

6. EXAMPLE 4 Finding the Surface Area of a Cylinder
 Find the SA Find the surface area of the can
of sloppy joe sauce.
Circle: A = π r2
A= 3.14 x 4 x 4= 50.24
C=πxd
C= 3.14 x 8 = 25.12
Rectangle: A = b x h
A= 25.12 x 10.7 = 268.784
Surface area: 50.24 +50.24 +268.784 =369.3 cm2

7. EXAMPLE 2 Using a Net to Find Surface Area
Storage Chest
You are painting a storage chest with the given
dimensions. Find the surface area to be painted.
Front: 30 x 15 = 450
Side: 15 x 15 = 225
Top: 30 x 15 = 450
450+450+225+
225+450+450=
2250 in sq.

8. Homework
 Worksheet 10.4
 Problems: 1-4, 8-9