(Solved): Find the volume of the given solid region in the first octant bounded by the plane \( x+3 y+3 z=3 \ ...

Find the volume of the given solid region in the first octant bounded by the plane \( x+3 y+3 z=3 \) and the coordinate planes, using triple integrals. Complete the triple integral below used to find the volume of the given solid region. Note the order of integration \( \mathrm{dz} \mathrm{dy} \mathrm{dx} \). \[ V=\int_{0}^{3} \int_{0}^{3} \int_{0} d z d y d x \]