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?
Solution:
Given that
Length of the vessel (l) = 10 m
Width of the Cuboidal vessel = 8 m
Let 'h' be the height of the cuboidal vessel.
Volume of the vessel $=380 \mathrm{~m}^{3}$
Therefore, $\mathrm{l} * \mathrm{~b} * \mathrm{~h}=380 \mathrm{~m}^{3}$
⇒ 10 ∗ 8 ∗ h = 380
$\Rightarrow \mathrm{h}=\frac{380}{10 * 8}$
⇒ h = 4.75 m
Therefore, height of the vessel should be 4.75 m.