Page 50 - Math Course 3 (Book 2)

Geometric Surface Area: Pyramids

Surface Area of a Regular Pyramid
Next, find the perimeter and area of the base.
Find the surface area of the regular pentagonal
P = 6s pyramid.
≈ 6(10.4) or 62.4 A. 236.1 cm²
1 B. 326.9 cm²
B = Pa C. 90.8 cm²
2 D. 417.7 cm² 12 cm
1
≈ (62.4)(9) or 280.6
2
Finally, find the surface area. 13 cm

1 Surface area of a regular
T = P + B
2 pyramid
1
≈ (62.4)(15) + 280.6 P ≈ 62.4, = 15, B ≈ 280.6
2 Answer
≈ 748.2 Simplify.

The surface area is approximately
Answer
748.2 square centimeters

Your Turn!

Find Lateral Area

CAMPING
A tent in the shape of a pyramid is put up by two
campers. The square base is 7 feet on a side and
the slant height of the tent is 7.4 feet. Find the
lateral area of the tent.

A. 25.9 ft²
B. 51.8 ft²
C. 103.6 ft²
D. 207.2 ft²

Answer

Surface Area of a Square Pyramid

Find the surface area of the square pyramid to the
nearest tenth.
A. 73.8 m²
B. 89.8 m² 9 m
C. 163.5 m²
D. 696 m²

4 m
2 m
4 m

Answer

42