Question

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

Answer 1

Dimensions of a cuboidal vessel:
Length $=l=10$ m
Breadth $=b=8$ m
Volume of the vessel $=380m^3$ (given)
Let ‘h’ be the height of the cuboidal vessel.
We know, Volume of cuboidal vessel $=lbh$
$lbh=380m^3$
$10\times 8\times h=380$
$h=\frac{380}{(10\times 8)}$
$h=4.75m$
Therefore, the height of the vessel should be 4.75 m.