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Original Question
Calculate the surface area of the square pyramid that has a base of 12 and a slant height of 18Question
Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18
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Answered by
GPT 3.5
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (1/2) * Perimeter * Slant Height
First, calculate the area of the base, which is a square:
Base Area = 12 * 12 = 144
Next, calculate the perimeter of the base:
Perimeter = 4 * 12 = 48
Now, calculate the surface area of the pyramid:
Surface Area = 144 + (1/2) * 48 * 18
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
Surface Area = Base Area + (1/2) * Perimeter * Slant Height
First, calculate the area of the base, which is a square:
Base Area = 12 * 12 = 144
Next, calculate the perimeter of the base:
Perimeter = 4 * 12 = 48
Now, calculate the surface area of the pyramid:
Surface Area = 144 + (1/2) * 48 * 18
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
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