1. The problem statement, all variables and given/known data Considering a rectangular prism bounded by six rectangular faces (x=2, y=0.5, z=1) and a cylinder (r=0.5, heigh h=2) that cut the rectangular prism in x=1 y=0 and z=0 with a inclination of 45 grads in y and z. Which is the area of each faces for the rectangular prism. I need not the numerically solutions but the analytically solution. 2. Relevant equations 3. The attempt at a solution The area of each face of a rectangular prism is Ar=a*b but now I must rest the area of the cylinder. The cylinder area is known as Ac=2*pi*r*h. But this is not the result. If the rectangular prism would be a cube, it would be very easy: the area of the rectangle minus the area of the semicircle. But in this case I think I have to consider that the cylinder cut the rectangular prism with a inclination, but I am not sure.