It is: base area+(4*triangle areas)
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This is a popular topic, discussed in many places on the web. The attached link is one place that I like. If you want to look for others just google for surface area square pyramid.
Surface area of the pyramid: 4*0.5*144*sin(60) = 249 square cm to 3 significant figures
The surface area of a square pyramid depends on the lengths of the sides of the square base and of the vertical height. While the question does give two linear measures, it does not say which is which! And without that crucial bit of information, I cannot provide a more useful answer.
There is not enough information to calculate the dimensions.
It is the lateral area (which is 1/2 the perimeter multiplied by the slant height), plus the area of the base.