What is the surface area of a square pyramid with base length of 10 cm and slant height of 20 cm?(1 point) cm2
The formula for the surface area of a square pyramid is given by:
Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)
Given that the base length is 10 cm, the perimeter of the base (which is a square) is 4 times the length of one side, so it is 4 × 10 cm = 40 cm.
Using the formula, we can calculate the surface area:
Surface Area = 10 cm^2 + (0.5 × 40 cm × 20 cm)
Surface Area = 10 cm^2 + (0.5 × 800 cm^2)
Surface Area = 10 cm^2 + 400 cm^2
Surface Area = 410 cm^2
Therefore, the surface area of the square pyramid is 410 cm^2.