Hexagonal wax

The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax.

Correct answer:

V =  50.6625 cm³

Step-by-step explanation:

$$\begin{gathered} a=3\text{cm} \\ h=6.5\text{cm} \\ {S}_6=\frac{3\cdot \sqrt{3}}{2}\cdot a^2=\frac{3\cdot \sqrt{3}}{2}\cdot 3^2\doteq 23.3827{\text{cm}}^2 \\ V=\frac{1}{3}\cdot S_6\cdot h=\frac{1}{3}\cdot 23.3827\cdot 6.5=50.6625{\text{cm}}^3 \end{gathered}$$

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