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4 votes
4 votes
Find the lateral area and surface area of each prism. please show your work. ​

Find the lateral area and surface area of each prism. please show your work. ​-example-1
User SnakesNbronies
by
2.5k points

2 Answers

17 votes
17 votes


\stackrel{\textit{\Large Lateral Area}}{\stackrel{\textit{area of the 6 sides}}{6(12)(15)}\implies 1080} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=\stackrel{6* 12}{72}\\ a=10.39 \end{cases}\implies A=\cfrac{1}{2}(10.39)(72)\implies 374.04 \\\\[-0.35em] ~\dotfill


\stackrel{\textit{\Large Areas}}{\stackrel{lateral}{1080}~~ + ~~\stackrel{two~hexagons}{2(374.04)}}\implies 1828.08\qquad \leftarrow \textit{total surface area}

User XRaycat
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3.4k points
11 votes
11 votes
I think the lateral area is based on the surface area of each prism that make up for it
User Pernilla
by
2.8k points
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