Solar innovations, makes a skylight in the shape of a square pyramid. The pyramid is represented with a net how many square feet of acrylic are needed to make a skylight covering the lateral surface area.
20 ft
40 ft
40 ft
40 ft
40 ft
The lateral surface area of a square pyramid can be calculated using the formula: L = Pl, where P is the perimeter of the base and l is the slant height of the pyramid.
Since the base of the pyramid is a square, the perimeter can be calculated as 4s, where s is the length of one side of the base.
Let's assume the side of the base is x ft, and the slant height is also x ft (since it's a square pyramid). Therefore, P = 4x.
The lateral surface area is given by L = 4x * x = 4x^2.
Given that the sides are 20 ft, the lateral surface area is: L = 4(20^2) = 4(400) = 1600 sq ft.
Therefore, 1600 square feet of acrylic are needed to make the skylight covering the lateral surface area.
So the answer is:
40 ft
40 ft
40 ft
40 ft