What is the surface area of a square pyramid with base length of 10 cm and slant height of 20 cm?(1 point)
The surface area of a square pyramid can be calculated using the formula:
Surface area = base area + 4 * (0.5 * base length * slant height)
Given:
Base length = 10 cm
Slant height = 20 cm
First, we need to calculate the base area:
Base area = base length^2 = 10 cm * 10 cm = 100 cm^2
Next, we calculate the surface area using the formula:
Surface area = 100 cm^2 + 4 * (0.5 * 10 cm * 20 cm)
Surface area = 100 cm^2 + 4 * (0.5 * 200 cm^2)
Surface area = 100 cm^2 + 4 * 100 cm^2
Surface area = 100 cm^2 + 400 cm^2
Surface area = 500 cm^2
Therefore, the surface area of the square pyramid is 500 cm^2.