Systems Engineering B
The shape of the hull of a small barge of width w, length l and depth d,
can be approximated by the multivariable function f(x,y), where:
(a) Show via multiple integration that the volume V of the hull is
given by the following expression:
(b) If the mass of the barge is 100 tonnes, and its sides must clear
the water by at least 1 m to safeguard against sinking, what is the
maximum payload of the vessel, to the nearest 100 tonnes?
Vessel dimensions: w=6m
l=20m
d=9m
