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Two math problems are required in senior high school
The height of the triangular pyramid is 4.

The inclination height of both sides is √(3? +4? )=5 √(6? +6? )=6√2

The total area of the pyramid is1/2x6x6+1/2x6 √ 2x4+1/2x6x5+/2x6x5 = 48+12 √ 2.

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