Hexa prism

Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.

Correct answer:

V =  1163.9381 cm³

Step-by-step explanation:

$$\begin{gathered} a=4\text{ cm } \\ v=28\text{ cm } \\ {S}_1={\displaystyle \frac{\sqrt{3}}{4}}\cdot a^2={\displaystyle \frac{\sqrt{3}}{4}}\cdot 4^2=4\sqrt{3}{\text{cm}}^2\doteq 6.9282{\text{cm}}^2 \\ S=6\cdot S_1=6\cdot 6.9282=24\sqrt{3}{\text{cm}}^2\doteq 41.5692{\text{cm}}^2 \\ V=v\cdot S=28\cdot 41.5692=672\sqrt{3}=1163.9381{\text{cm}}^3 \end{gathered}$$

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