A river barge, whose cross section is approximately rectangular, carries a load of grain. The barge is $21$ ft wide and $94$ ft long. W unloaded its draft $($depth of submergence$)$ is $6$ ft$,$ and with the load of grain the draft is $8$ ft$.$ Determine: $($a$)$ the unloaded weight barge, and $($b$)$ the weight of the grain.

$$Wo$=$

$$Wg$-$

i

Ib