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Volume of a regular square pyramid (using the base and lateral edges)

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Calculate the height, volume, and surface area of a regular square pyramid using the length of its lateral edges and the dimensions of its bases.
Base length a
Length of the lateral edge l
Height h 
Volume V 
Surface Area S 
\(\normalsize Square\ pyramid\\ (1)\ height:\hspace{60px} h={\large\frac{\sqrt{4l^2-2a^2}}{2}}\\ (2)\ volume:\hspace{50px} V={\large\frac{1}{3}}a^2h\\ (3)\ surface\ area:\hspace{10px} S=a^2+a\sqrt{a^2+4h^2}\\\)

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