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4. The net of a square pyramid is shown below. What is the surface area of the pyramid?

8cm
Options:
A. 100 , \text{cm}^2
B. 136 , \text{cm}^2
C. 172 , \text{cm}^2
D. 192 , \text{cm}^2

User Liam Gray
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1 Answer

6 votes

Final answer:

To find the surface area of a square pyramid, you need to find the area of the base and the triangular faces. However, without the height of the pyramid, we cannot calculate the surface area based on the given options.

Step-by-step explanation:

To find the surface area of a square pyramid, you need to find the area of the square base and the area of the four triangular faces.

The formula for the surface area of a square pyramid is:

Surface Area = area of base + 4(area of triangular faces)

Given that the side length of the square base is 8 cm, the area of the base is 8 cm * 8 cm = 64 cm².

To find the area of the triangular faces, we need to find the height of the pyramid. Since the pyramid is not given a height, we can't calculate the exact surface area without that information.

Therefore, the given options are not enough to determine the surface area of the pyramid.

User Scott Selby
by
8.9k points