Question

Find the lateral surface area of the prism.

7 cm
6 cm
7 cm
12 cm
6 cm
LSA =?] cm²

Answer 1

so, hmm something noteworthy, for a triangular prism, its base is always the triangular face, so if we were to grab that prism in the picture above, and stand it up on its base, it'd look more or less like the one in the picture below, so you can see the lateral area is just the area of those three rectangles.

`\stackrel{ \textit{\LARGE Lateral Area} }{(6)(12) + (7)(12) + (7)(12)} \implies 72 + 84 + 84 \implies \text{\LARGE 240}~cm^2`