Question
Calculate the surface area of the square pyramid that has a base length of 12 and a slight 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 of Base * Slant Height)
First, calculate the base area of the square pyramid:
Base Area = side^2
Base Area = 12^2
Base Area = 144
Next, calculate the perimeter of the base of the square pyramid:
Perimeter of Base = 4 * side
Perimeter of Base = 4 * 12
Perimeter of Base = 48
Now, calculate the surface area of the square pyramid:
Surface Area = 144 + (1/2 * 48 * 18)
Surface Area = 144 + (24 * 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 of Base * Slant Height)
First, calculate the base area of the square pyramid:
Base Area = side^2
Base Area = 12^2
Base Area = 144
Next, calculate the perimeter of the base of the square pyramid:
Perimeter of Base = 4 * side
Perimeter of Base = 4 * 12
Perimeter of Base = 48
Now, calculate the surface area of the square pyramid:
Surface Area = 144 + (1/2 * 48 * 18)
Surface Area = 144 + (24 * 18)
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
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