Surface area of a square pyramid is 160cm^2. The area of the lateral triangles is 96cm^2. What is length of one of the sides.

Answer 1

To find the length of one of the sides of the square base of the pyramid, we first need to find the area of the base.

The total surface area of a square pyramid is given by the formula:

Surface Area = B + 4s

Where B is the area of the base, s is the slant height of the pyramid, and 4s is the sum of the areas of the lateral faces.

Given that the total surface area is 160 cm^2 and the area of the lateral triangles is 96 cm^2, we can set up the equation:

160 = B + 96

160 - 96 = B
64 = B

Now that we know the area of the base is 64 cm^2, we can find the length of one of the sides of the square base by taking the square root of the area:

Side length = √64
Side length = 8 cm

Therefore, the length of one of the sides of the square base of the pyramid is 8 cm.