What is the surface area of the square pyramid represented by the net? An unfolded square base pyramid with sides of the base being seven centimeters and the length from the base to the tip is nine centimeters.

175 cm²

Step-by-step explanation:

Surface area of the square pyramid = area of the base + area of 4 triangles

So, in order to find the total surface area, first calculate the area of base then area of triangle

Area of the base can be calculated by s²

and s = 7cm

∴Area of the base = 7 x 7 = 49 cm²

As, Area of Δ = 1/2 b x h

Area of the 4 triangles = 4 x [ 1/2 x 7 x 9] (since there are 4 triangles)

Area of the 4 triangles = 4 x 31.5

Area of the 4 triangles = 126 cm²

Therefore, the surface area = Area of the base + Area of the 4 triangles

Total Surface Area = 49 + 126 = 175 cm²