Answer
Surface Area of the pyramid = 288 km²
Step-by-step explanation
The surface area of the square based pyramid is the sum of the area of all its faces.
We can see that the pyramid has four triangles that are identical on the sides and a square at the bottom.
Surface Area of the pyramid
= 4 (Area of one of the triangles) + (Area of the square at the base)
Area of one of the triangles = ½bh
b = base of the triangle = 10 km
h = perpendicular height of the triangle = 9.4 km
Area of one of the triangles = ½bh
Area of one of the triangles = ½ (10) (9.4) = 47 km²
Area of the square at the base = L²
L = Lengh of a side of the square = 10 km
Area of the square at the base = L²
Area of the square at the base = 10² = 100km²
Surface Area of the pyramid
= 4 (Area of one of the triangles) + (Area of the square at the base)
= 4 (47) + 100
= 188 + 100
= 288 km²
Hope this Helps!!!