An octagonal, regular straight prism touches a sphere with a radius of $3.3 \mathrm{~cm}$ placed inside it on each of its faces. What is the surface area and volume of the prism?
If the radius of the sphere is $r$, then the surface area of the prism is $F=48 r^{2} \operatorname{tg} 22^{\circ} 30^{\prime}=216.51 \mathrm{~cm}^{2}$, the volume of the prism is $V=$ $16 r^{3} \operatorname{tg} 22^{\circ} 30^{\prime}=238.16 \mathrm{~cm}^{3}$.

Number of solutions: 25.