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Calculate the surface of a regular eleven-sided prism; if the area of its base is 58 cm², the edge of the base is 6cm long, the height of the prism is 21 cm.

Correct answer:

S =  1502 cm²

Step-by-step explanation:

$$\begin{gathered} S_1=58{\text{cm}}^2 \\ a=6\text{ cm } \\ h=21\text{ cm } \\ n=11 \\ o=n\cdot a=11\cdot 6=66\text{ cm } \\ {S}_2=o\cdot h=66\cdot 21=1386{\text{cm}}^2 \\ S=2\cdot S_1+S_2=2\cdot 58+1386=1502{\text{cm}}^2 \end{gathered}$$

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