The base of a right Triangular prism has an area of 98 m². If the total surface area of the prism is 466 square units, which of the following are possible areas for the faces of the prism?

30, 102, and190 square units
40, 80, and 120 square units
50, 100, and 150 square units
60, 90, and 120 square units

2 answers

the lateral area is 466-2*98 = 270 u^2
So of the prism has length z, and the bases have perimeter p, then
pz = 270
Looking at the choices, it appears that z=10, so p=27
6+9+12 = 27, so I like (D)
someone do all the answers please