Surface Area of Pyramids

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Show your work for each problem.

1.
What is the surface area formula for a square pyramid?
1. a)
2. b)
3. c)
4. d)
2.
How many triangular faces does a square pyramid have?
1. a)3
2. b)6
3. c)5
4. d)4
3.
A square pyramid has a base side of cm and slant height of cm. What is the area of ONE triangular face?
4.
What is the base area of a square pyramid with a base side of cm?
5.
Find the surface area of a square pyramid with base side cm and slant height cm.
6.
What is the difference between pyramid height and slant height?
1. a)Pyramid height is measured on a face
2. b)Slant height is always shorter
3. c)They are the same measurement
4. d)Pyramid height is vertical; slant height is along a face
7.
A pyramid has base side m and pyramid height m. What is the slant height?
8.
A square pyramid has a total surface area of cm and base side cm. What is the slant height?
9.
Find the surface area of a square pyramid with base side m and pyramid height m.
10.
A tent has a square base of m and a pyramid height of m. Find the fabric needed for the walls (lateral area only).
11.
The lateral surface area of a square pyramid equals . What does this simplify from?
1. a)
2. b)
3. c)
4. d)
12.
A square pyramid has base side cm and pyramid height cm. What is the total surface area?
13.
Find the surface area of a regular tetrahedron (triangular pyramid where all edges equal cm).
14.
A pyramid model has base side m, pyramid height m. Glass costs 25 euros per m. What is the total cost to cover the entire pyramid?
15.
A pyramid with base side has its slant height doubled. What happens to the lateral surface area?
1. a)It halves
2. b)It quadruples
3. c)It doubles
4. d)It stays the same
16.
Calculate the surface area of a square pyramid with base side cm and slant height cm.
17.
What is the lateral surface area only (not including base) of a square pyramid with base side cm and slant height cm?
18.
A square pyramid has base side cm and pyramid height cm. Calculate the total surface area.