(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Which is the area of each faces for the rectangular prism.

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