(Solved): Write a triple integral for \( f(x, y, z)=x y z \) over the solid region \( Q \) for each of the s ...

Write a triple integral for \( f(x, y, z)=x y z \) over the solid region \( Q \) for each of the six possible orders of integration. \( Q=\{(x, y, z): 0 \leq x \leq 1,0 \leq y \leq 5 x, 0 \leq z \leq 6\} \) \( \iiint_{Q} x y z d V=\int_{0} \) \( \int_{0} \) \( \int_{y / 5} \) \( x y z d x d y d z \) \( =\int_{0} \) \( \int_{0} \) \( x y z d y d x d z \) \( =\int_{0} \) \( \int_{y / 5} \) \( x y z d x d z d y \) \( =\int_{0} \) \( \int_{0} \) \( x y z d y d z d x \) \( =\int_{0} \) \( \int_{y / 5} \) \( \int_{0} \) \( x y z d z d x d y \) \( =\int_{0} \) \( \int_{0} \) \( x y z d z d y d x \) Evaluate one of the triple integrals. \[ \iiint x y z d v= \]