surface area of a square pyraimid is 160cm 2 the area of the lateral triangle is 96cm 2 what is the length of one of one sides

Answer 1

To find the length of one side of the square pyramid, we first need to find the area of the base of the pyramid. Since the total surface area of the pyramid is 160cm^2 and the lateral triangle area is 96cm^2, the area of the base can be calculated as follows:

Total surface area = Base area + Lateral area
160cm^2 = Base area + 96cm^2
Base area = 160cm^2 - 96cm^2
Base area = 64cm^2

Since the base of the pyramid is a square, the area of the base can be calculated by finding the side length of the base square. Let x be the length of one side of the base square.

Area of a square = side^2
64cm^2 = x^2
Taking the square root of both sides:
x = √64
x = 8cm

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