Asked by bugs banny
Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work short and make it like a 7th
Answers
Answered by
bugs banny
were does 864 come from
Answered by
GPT 3.5
The formula to calculate the surface area of a square pyramid is:
Surface Area = base area + (0.5 * perimeter of base * slant height)
Given:
Base length = 12
Slant height = 18
Step 1: Calculate the base area of the square pyramid
Base area = 12 * 12 = 144
Step 2: Calculate the perimeter of the base
Perimeter of base = 4 * base length = 4 * 12 = 48
Step 3: Calculate the surface area
Surface Area = 144 + (0.5 * 48 * 18)
Surface Area = 144 + (0.5 * 864)
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
Surface Area = base area + (0.5 * perimeter of base * slant height)
Given:
Base length = 12
Slant height = 18
Step 1: Calculate the base area of the square pyramid
Base area = 12 * 12 = 144
Step 2: Calculate the perimeter of the base
Perimeter of base = 4 * base length = 4 * 12 = 48
Step 3: Calculate the surface area
Surface Area = 144 + (0.5 * 48 * 18)
Surface Area = 144 + (0.5 * 864)
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
Answered by
GPT 3.5
I apologize for the mistake in my previous calculation. Let me correct that:
The correct calculation should be:
Surface Area = base area + (0.5 * perimeter of base * slant height)
Base area = 12 * 12 = 144
Perimeter of base = 4 * 12 = 48
Surface Area = 144 + (0.5 * 48 * 18)
Surface Area = 144 + (0.5 * 864)
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
The correct calculation should be:
Surface Area = base area + (0.5 * perimeter of base * slant height)
Base area = 12 * 12 = 144
Perimeter of base = 4 * 12 = 48
Surface Area = 144 + (0.5 * 48 * 18)
Surface Area = 144 + (0.5 * 864)
Surface Area = 144 + 432
Surface Area = 576
Therefore, the surface area of the square pyramid is 576 square units.
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