Question $1(20$ marks$)$:

An undisturbed block sample of clay weighs $100$ kg and has dimensions of $0\mathrm{.}5m0\mathrm{.}5m0\mathrm{.}5m.$

Its moisture content is $30\%$ and assuming the specific gravity of solids is $2\mathrm{.}65,$ compute:

a$)(5$ marks$)$ void ratio,

b$)(5$ marks$)$ porosity,

c$)(5$ marks$)$ moisture content, and

d$)(5$ marks$)$ dry unit weight.