Answer:
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