Base diagonal

In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid.

Correct answer:

S =  137.0161 m²
V =  91.9869 m³

Step-by-step explanation:

$V={\displaystyle \frac{1}{3}}\cdot S_1\cdot h={\displaystyle \frac{1}{3}}\cdot 42.1107\cdot 6.5532=91.9869{\text{m}}^3$

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