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 set by step

1 answer

To find the length of one side of the square base of the pyramid, we can use the formula for the surface area:

Surface Area = Base Area + Lateral Area

The lateral area of the pyramid (triangles) is 96cm^2, and the surface area is given as 160cm^2. Therefore, the base area can be calculated as:

Base Area = Surface Area - Lateral Area
Base Area = 160cm^2 - 96cm^2
Base Area = 64cm^2

Since the base of the pyramid is a square, we can find the length of one side by taking the square root of the base area:

Length of one side = √64
Length of one side = 8cm

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