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Worksheet Surface Area of Pyramids 12.3
Name _______________________
Find the lateral area and the surface area of each regular pyramid or right cone. Round to the nearest tenth.
1. LA = __________
2. LA = __________
3. LA = __________
SA = __________
SA = __________
SA = __________
(square base)
(square base)
(Square base)
Lateral edge is 17 m
Base edge is 16 m
8
12
12
12
10
10
4. LA = __________
5. LA = __________
6. LA = __________
SA = __________
SA = __________
SA = __________
(Square base)
Height is 24 cm
(square base)
(hexagon base)
apothem is 3.5
Slant height is 25 cm
18
10
16
4
16
Find the surface area of the solid. The pyramids are regular. Leave #8 in radical form.
7.
8.
Great Pyramids of Khufu The Great Pyramids of Khufu is located in
El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs
of ancient Egypt. The Great Pyramid is 481 feet high and has a square
base with a base edge length of 756 feet. Round answers to two
decimal places.
9. Approximate the slant height of the Great Pyramid.
10. Approximate the area of each lateral face of the Great Pyramid.
11. Approximate the surface area of the Great Pyramid.
12. Gazebo The roof of a gazebo is shaped like a regular
square pyramid with base edge length of 10 feet as shown.
Its lateral area is 120 square feet. Find the slant height.
Sketch the described solid and find its surface area. Round your answer to two decimal places.
13. A regular pyramid has a slant height of
12 inches. Its base is a square with a
base edge length of 18 inches.
14. A regular pyramid has a square base with
a base edge length of 4 meters and a slant
Height of 7 meters.
15. Mr. Fixit built a building in the shape of a square pyramid. He wanted to paint every
other side red and the other two sides blue. The pyramid has a height of 8 feet and the
base is 12 feet long. The red paint only covers 32 square feet per gallon, and the blue
covers 46 square feet per gallon. How much paint of each color will he need to paint the
sides of the pyramid?
16. The pyramids of South America are shaped like square pyramids. The base of the pyramid
is 120 meters long, and the slant height of the pyramid is 100 meters long. What is the
surface area of this pyramid, and what is the height of this pyramid?( remember the bottom
is not included)
17. Mrs. Yung T’cha has built a pyramid with a square base. The pyramid has a slant height of
12 feet and is 4 feet wide at the base. She only wants to paint the top quarter of the pyramid,
how much area is that?
18. Find the surface area of a equilateral pyramid. Each face is an equilateral triangle with sides
that are 12 meters in length. Leave answer in radical form, and use special right triangles to
find the answer.
19. Find the lateral area of the following
hexagonal pyramid.
20. Find the surface area of the following
square pyramid.
17 cm
5m
16 m
6m
Find the surface area of the solid. Round to two decimal places. THINK - how much surface will I paint
(if it doesn’t show, it doesn’t get painted).
21. SA = __________
22. SA = __________
17 m
10 m
30 m
12 m
25 m
12 m
12 m
30 m