A rectangular box 2.4 m long, 1.2m wide and 0.8m high, floats in water of RD 1.012m at an even keel draft of 0.2m. find the maximum mass of SW that can be poured into it without sinking it.

Solution :

Given :
L = 2.4m, B = 1.2m, H = 0.8m
RD =  1.012 , Depth = 0.2m

Mass of rectangular box = (L x B x H )x (1.012)
= (2.4 x 1.2 x 0.8) x (1.012)
= 2.33t

Mass of box even keel when draft  is 0.2m
= (2.4 x 1.2 x 0.2) x(1.012)
= 0.583

Hence, Salt water that  can poured  is (2.33 – 0.58)
= 1.75 t.