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# A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 $$m^3$$ of a liquid?

Given :
Length (l) of vessel = 10 m
Width (b) Of vessel = 8 m

We know that,

Volume of tank = l x b x h
But, Volume of vessel = 380 $${m}^{3}$$
$$\therefore$$ l x b x h = 380 $${m}^{3}$$
$$\Rightarrow$$ (10 x 8 x h) $${m}^{2}$$ = 380 $${m}^{3}$$
$$\Rightarrow$$ (80 x h) $${m}^{2}$$ = 380 $${m}^{3}$$
$$\Rightarrow$$ h = $$\frac{380}{80}$$ m
$$\Rightarrow$$ h = 4.75 m

Therefore, the height Of the vessel should be 4.75 m.