Find the slant height of a square pyramid if base length is 40cm and surface area 2800

Answer 1

To find the slant height of a square pyramid, we can use the Pythagorean theorem.

First, let's calculate the height of the pyramid by dividing the surface area by the base area:
Surface Area = 2(base length * slant height) + (base length * base length)
2800 = 2(40 * slant height) + (40 * 40)
2800 = 80slant height + 1600
80slant height = 2800 - 1600
80slant height = 1200
slant height = 1200/80
slant height = 15 cm

Therefore, the slant height of the square pyramid is 15 cm.