The document provides instructions for calculating the surface area of various 3D shapes. It defines surface area as the sum of the areas of all surfaces of a solid figure. It then works through examples of finding the surface area of a triangular prism and rectangular prism by calculating the area of each face and adding them together. Students are provided practice problems to find the surface area of additional prisms.

1. Name ________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Period _____ Lesson 10-7 Surface Area
VOCABULARY DEFINITION EXAMPLE
Surface area
Net
To find the surface area of the triangular prism below, find the area of each face.
Face C Face D Face E
Face B
Face A
A = ½ bh A = ½ bh A = lw A = lw A = lw
A = _________ A = _______ A = _________ A = ______ A = _______
A = _________ A = _______ A = _________ A = ______ A = _______
Continued on next page

2. Now add all of the areas together:
Face A = 6 un2
Face B = 6 un2
Face C = 24 un2
Face D = 24 un2
Face E = 24 un2
Surface Area = __________
Now you try:
Side Area = bh Top Area = bh
Side Area = _________ Top Area = _________
Side Area = _________ Top Area = _________
x4 x2
___________ ___________
Sides __________
+ top __________
Surface area = ____________

5. Name ________________________________ Date __________________
Mrs. Labuski / Mrs. Rooney Period _____ Lesson 10-7 Surface Area
VOCABULARY DEFINITION EXAMPLE
The surface area of a solid
Surface area figure is the sum of the See below
areas of its surfaces
A net is the pattern made
when the surface of a
Net solid is laid out flat
showing each face of the
figure.
To find the surface area of the triangular prism below, find the area of each face.
Face C Face D Face E
Face B
Face A
A = ½ bh A = ½ bh A = lw A = lw A = lw
A=½x3x4 A=½x3x4 A=6x4 A=6x4 A=6x4
A = 6 un2 A = 6 un2 A = 24 un2 A= 24 un2 A = 24 un2
Continued on next page

6. Now add all of the areas together:
Face A = 6 un2
Face B = 6 un2
Face C = 24 un2
Face D = 24 un2
Face E = 24 un2
Surface Area = 86 un2
Now you try:
Side Area = bh Top Area = bh
Side Area = 10 x 8 Top Area = 8 x 8
Side Area = 80 Top Area = 64
x4 x2
320ft2 128ft2
Sides 320ft2
+ top 128ft2
Surface area = 448ft2

7. 4
A = lw A = ½ bh A=
6x6 A=½x6x5
A = 36 un2 A = 15 un2
x4
A = 60 un2
Sides = 60
+Base = 36
Surface area = 96 un2
6
A = lw
A = 10 x 10
A = 100 un2
x6
SA = 600 un2

8. 4
A = lw A = ½ bh
A=6x6 A = ½ x 6 x 16
A = 36 un2 A = 48 un2
x4
A = 192 un2
Sides = 192
+Base = 36
Surface area = 228 un2
front & back 2 sides 2 2
2.4cm 2.4cm top & 1.8cm
bottom
4.5cm
4.5cm 1.8cm
21.6
A = lw A = lw A = lw 8.64
A = 4.5 x 2.4 A = 1.8 x 2.4 A = 4.5 x 1.8 + 16.2
A = 10.8 cm2 A = 4.32 cm2 A = 8.1 cm2 46.44cm2
x2 x2 x2
A = 21.6 cm2 A = 8.64 cm2 A = 16.2 cm2