NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 8-7 Reteach- Surface Area of Pyramids
The total surface area S.A. of a regular pyramid is the lateral area L.A. plus the area of the base.
1
S.A. = B + L.A. or S.A. = B + Pℓ
2
Example 1
Find the total surface area of the pyramid.
1
S.A. = B + Pℓ
Surface area of a pyramid
2
1
S.A. = 49 + (28 • 6)
P = 4(7) or 28, ℓ = 6, B = 7 • 7 or 49
S.A. = 133
Simplify
2
The surface area of the pyramid is 133 square inches.
Example 2
Find the total surface area of the pyramid.
S.A. = 𝐵 +
1
2
𝑃ℓ
Surface area of a pyramid
1
S.A. = 15.6 + (18 • 5)
P = 3(6) or 18, ℓ = 5, B = 15.6
S.A. = 60.6
Simplify.
2
The surface area of the pyramid is 60.6 square meters.
Exercises
Find the total surface area of each pyramid. Round to the nearest tenth.
1.
2.
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 7 Homework Practice- Surface Area of Pyramids
Find the total surface area of each pyramid. Round to the nearest tenth if necessary.
1.
2.
18 ft
11 in.
24 ft
24 ft
9 in.
9 in.
3.
4.
8 cm
15 cm
8 cm
8 cm
area of base
27.7 cm2
5.
6.
16.3 ft
20 ft
20 ft
7.
8.
7m
7m
7m
7m
area of base
21.2 m2