BristolZ176981 BristolZ176981
  • 03-11-2022
  • Mathematics
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What is the lateral surface area of the of the following figure? A. 982.36B. 851.76C. 785.34D. 709.8

What is the lateral surface area of the of the following figure A 98236B 85176C 78534D 7098 class=

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GiulioA295596 GiulioA295596
  • 03-11-2022

Given : a triangular prism

The lateral surface area is the sum of the rectangular sides

So, the lateral surface area =

[tex]\begin{gathered} 18.2\cdot13+18.2\cdot13+18.2\cdot20.8 \\ =851.76\operatorname{cm} \end{gathered}[/tex]

Another method : Find the perimeter of the triangle then multiply by 18.2

[tex]\begin{gathered} 18.2\cdot(13+13+20.8)_{} \\ =18.2\cdot46.8 \\ =851.76\operatorname{cm} \end{gathered}[/tex]

so, the answer is option B. 851.76

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