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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?

Q : 3    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?
 

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N Nehul

Let the height of the vessel be h\ m

Dimensions of the cuboidal water tank = 10\ m \times8\ m\times h\ m

We know,

The volume of a cuboid = l\times b \times h

\small \therefore The volume of the water tank = \small (10 \times8\times h)\ m^3 = 80h\ m^3

According to question,

\small \\ \Rightarrow h= \frac{380}{80} = 4.75

Therefore, the required height of the vessel is \small 4.75\ m

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