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?

Answer 1

Let the height of the cuboidal vessel be h.

length (l) of the vessel = 10 m

Width (b) of the vessel = 8 m
Volume of the vessel $=380m^3$
Volume of the cuboid= $l\times b\times h$

$\therefore l\times b\times h=380$

$\left[\right(10\left)\right(8\left)h\right]m^3=380m^3$

h = 4.75 m

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