What is the surface area of a square pyramid with base length of 10 cm and slant height of 20 cm? cm^2
It's 500 cm
The surface area of a square pyramid can be calculated by first finding the lateral area of the pyramid and then adding the area of the base.
The lateral area of a square pyramid is given by the formula: L = s × l, where s is the length of one side of the base and l is the slant height.
In this case, s = 10 cm and l = 20 cm, so the lateral area is: L = 10 cm × 20 cm = 200 cm².
The area of the base of a square pyramid is given by the formula: B = s², where s is the length of one side of the base.
In this case, s = 10 cm, so the area of the base is: B = 10 cm × 10 cm = 100 cm².
To find the total surface area, we add the lateral area and the area of the base: A = L + B = 200 cm² + 100 cm² = 300 cm².
Therefore, the surface area of the given square pyramid is 300 cm².