A solid rectangular prism has dimensions 5 by 7 by 8. A 3 by 3 by 3 cube is cut out of the corner creating a new solid What is the surface area of the new solid?
It's actually the same when you cut out the corners because there are now 3 faces in place of the corner cut, and before there were 3 faces facing outwards on each corner. So the surface area is 2(5*7)+2(5*8)+2(7*8)=2*35+2*40+2*56=70+80+112=262.
Correct me if I'm wrong.