1. Find the surface area of the square pyramid.
2. Error Analysis A student incorrectly says the surface area of the square pyramid is 1,764 cm^{2}.
a. What is the correct surface area?
b. Which statement best describes an error the student likely made?
A. The student used the height of the pyramid, 40 cm, rather than the slant height of the pyramid, 41 cm, to find the lateral area.
B. The student used the side length of the base of the pyramid, 18 cm, rather than the height of the pyramid, 40 cm, to find the lateral area.
C. The student used the height of the pyramid, 40 cm, rather than the side length of the base of the pyramid, 18 cm, to find the lateral area.
D. The student used the slant height of the pyramid, 41 cm, rather than the height of the pyramid, 40 cm, to find the lateral area.
3. Open-Ended Think of an object that has the shape of a square pyramid. It could be pointed up, down, or to the left or right.
a. Sketch a square pyramid that has the shape of the object.
b. What information could you use to find the surface area of a square pyramid? Select all that apply.
A. the side length of the base
B. the lateral area
C. the slant height of the pyramid
D. the area of the base
E. the perimeter of the base
F. the height of the pyramid
4. Think About the Process You want to find the surface area of the square pyramid. You use the formula S.A. = L.A. + B, where L.A. represents the lateral area of the pyramid and B represents the area of the base.
a. Which equations do you use for L.A. and B?
A. cap l .cap a . equals , 1 half , open , 12 squared , close open 9 close semicolon b equals , 9 squared
B. cap l .cap a . equals , 1 half , open 4 middle dot 9 close open 12 close semicolon b equals , 9 squared
C. L.A. = (4 · 12)(9); B = 12^{2}
D. cap l .cap a . equals , 1 half , open 4 middle dot 12 close open 9 close semicolon b equals , 12 squared
b. What is the surface area of the square pyramid?