1. 5.6 Surface Area of 3D Figures
Date: ________________

2. Define Surface Area: The amount of material it would take to
cover a 3D shape.
The area of everything on the outside
of a space figure measured in square
units

3. Types of space figures: Prism Pyramid Cylinder
Cone
Sphere
a space figure with two parallel sides
that are congruent
a space figure with only one base;
its faces are triangles
a space figure with a curved surface
and two congruent parallel bases
that are circles
a space figure with one circular base and
a curved surface that comes to a point
a space figure with no bases and
only curved surfaces

4. Surface Area of a Prism/Pyramid
Sum of the area of its faces
Steps:
Draw and label all of the faces
Find the area of each face
Add all of the faces together

5. Find the surface area of the following prism:8
2 of them
8 cm
2 of them 7 5 6
A = (b)(h)
A = ½ (b)(h)
5 cm
= (5)(8)
7 cm
= ½ (6)(7)
= 40 (2)
= 80 cm2
= 21(2)
= 42 cm2
6 cm
A = (b)(h) 5
= (5)(6) 6
= 30 cm2
Total Area =
= 152 cm2

6. Find the surface area of the following Square Pyramid:10
4 of them
12 cm 12 10
10 cm 10
A = (b)(h)
A = ½ (b)(h)
= (10)(10)
= ½ (10)(12)
= 100 cm2
= 60(4)
= 240 cm2
Total Area =
= 340 cm2

7. Surface Area of a Cylinder
Steps:
Identify the radius and height
Plus r and h into equation

8. Find the surface area of the following prism:
= 4
8cm
h = 14
14cm

9. Surface Area of a Cone Steps: Identify the radius and slant height
Plus r and s into equation

10. Find the surface area of the following prism:
= 2
2.6 m
s = 2.6m
4 m

11. Surface Area of a Sphere
Steps:
Identify the radius
Plus r into equation

12. Find the surface area of the following prism:
= 4.5
9 in