Question $1$:

A rectangular pontoon has plan area $16m$ by $5m.$ It has a mass of $24,000kg.$ If the sides of the pontoon

are $1\mathrm{.}5m$ high, and it is floating in salt water $(=1025\frac{kg}{m^3})$ find:

a$)$ The depth of immersion and freeboard.

b$)$ What is the distance between the centre of buoyancy and the metacentre?

c$)$ How much weight could we put on the pontoon if we were to maintain a freeboard of $0\mathrm{.}4m?$