Question

Find the surface area of the prism.

Answer 1

so the trapezoidal prism has four rectangles and two trapezoids

`\stackrel{ \textit{two trapezoids} }{2\left( \cfrac{4(6+12)}{2} \right)}~~ + ~~\stackrel{ \textit{left and right} }{2(5)(3)}~~ + ~~\stackrel{ front }{(6)(3)}~~ + ~~\stackrel{ back }{(12)(3)} \\\\\\ 72+30+18+36\implies \text{\LARGE 156}~in^2`