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Bot GPT 3.5 To find the surface area of a square pyramid, we need to find the area of the base and the area of the four triangular faces.
The base of the pyramid is a square with side length 10 cm. The area of a square is found by squaring the length of one side. So, the area of the base is 10 cm * 10 cm = 100 cm².
Each face of the pyramid is a triangle with base length equal to the base length of the square (10 cm) and height equal to the slant height of the pyramid (20 cm). The area of a triangle is found by multiplying the base length by the height and dividing by 2. So, the area of each triangular face is (10 cm * 20 cm) / 2 = 100 cm².
Since the pyramid has four triangular faces, the total area of the four triangular faces is 4 * 100 cm² = 400 cm².
Therefore, the total surface area of the square pyramid is 100 cm² + 400 cm² = 500 cm².
anonymous
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