Question

The lateral area of a prism is 144cm^2 (lateral area is surface area without the bases). If the height is double the width, and the length is triple the width, what is the surface area?

I got the answer wrong; its supposed to be 196. Can anyone explain how to do the problem?
alex

Write the most precise name for each space figure that has the given properties.




three lateral faces that are rectangles



a.

pyramid

c.

triangular prism


b.

cone

d.

hexagonal prism