Question
Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work and make it look like a seventh grader did it
Answers
GPT 3.5
First, we need to find the lateral area of the pyramid, which is the area of the four triangular faces.
Lateral area = 4 * (1/2) * base length * slant height
Lateral area = 4 * (1/2) * 12 * 18
Lateral area = 4 * 6 * 18
Lateral area = 432
Next, we need to find the area of the base of the pyramid, which is a square.
Base area = base length^2
Base area = 12^2
Base area = 144
Now, we can find the total surface area of the pyramid by adding the lateral area and the base area.
Surface area = Lateral area + Base area
Surface area = 432 + 144
Surface area = 576
Therefore, the surface area of the square pyramid is 576 square units.
Lateral area = 4 * (1/2) * base length * slant height
Lateral area = 4 * (1/2) * 12 * 18
Lateral area = 4 * 6 * 18
Lateral area = 432
Next, we need to find the area of the base of the pyramid, which is a square.
Base area = base length^2
Base area = 12^2
Base area = 144
Now, we can find the total surface area of the pyramid by adding the lateral area and the base area.
Surface area = Lateral area + Base area
Surface area = 432 + 144
Surface area = 576
Therefore, the surface area of the square pyramid is 576 square units.