Final answer:
The surface area of the square pyramid is 84m². It is calculated by finding the area of the base and the area of the four triangular faces.
Step-by-step explanation:
To find the surface area of a square pyramid, we need to calculate the area of the base and the area of the four triangular faces.
The base of the pyramid is a square with side length 6m, so its area is 6m x 6m = 36m².
The triangular faces have a base length of 6m and a height equal to the height of the pyramid.
In this case, the height is given as 4m. So the area of each triangular face is 1/2 x 6m x 4m = 12m².
Since there are four triangular faces, the total area of the triangular faces is 4 x 12m² = 48m².
To find the surface area of the pyramid, we add the area of the base and the area of the triangular faces: 36m² + 48m² = 84m².