To find the surface area of a square pyramid, we use the formula:
Surface Area = base area + (½ × perimeter × slant height)
The base area of a square is calculated by squaring the length of one side. In this case, the base length of the square is 10 cm, so the base area would be 10^2 = 100 cm^2.
The perimeter of a square is found by multiplying the length of one side by 4. In this case, the perimeter would be 10 cm × 4 = 40 cm.
Using the given slant height of 20 cm, we can now calculate the surface area:
Surface Area = 100 cm^2 + (½ × 40 cm × 20 cm)
= 100 cm^2 + (20 cm × 20 cm)
= 100 cm^2 + 400 cm^2
= 500 cm^2
Therefore, the surface area of the square pyramid is 500 square centimeters.
What is the surface area of a square with base length of 10 cm and slant height of 20 cm?
1 answer
1 answer