Find the mass of the box
B = [0, 1] × [0, 2] × [0, 3] in $\mathbb{R}^3$ if its density at
a point $(x, y, z)$ is given by
$\rho(x, y, z) = 4x + 5y + 6z$
Answer: The mass of B is computed as
$M = \int_B \rho(x, y, z) \,dV = \int_a^b \int_c^d \int_e^f \rho(x, y, z) \,dz$
and the number values for a, b, c, d, e, f and M
are:
a =
b =
c =
d =
e =
f =
M =