#### Question

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

#### Solution

Let the height of the cuboidal vessel be *h*.

Length (*l*) of vessel = 10 m

Width (*b*) of vessel = 8 m

Volume of vessel = 380 m^{3}

∴ *l × b × h* = 380

[(10) (8) *h*] m^{2}= 380 m^{3}

*h* = 4.75m

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

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Solution A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid? Concept: Volume of a Cuboid.