Prism lateral area

Calculate the lateral surface area of a pentagonal prism if the total surface area of the prism is 258 cm² and one base of the prism has an area of 64.6 cm². Express the result in cm² as a decimal number.

Final Answer:

S₂ =  128.8 cm²

Step-by-step explanation:

$$\begin{gathered} S=258{\text{cm}}^2 \\ {S}_1=64.6{\text{cm}}^2 \\ S=2\cdot S_1+S_2 \\ {S}_2=S-2\cdot S_1=258-2\cdot 64.6=128.8{\text{cm}}^2 \end{gathered}$$

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