Question:
A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
Solution:
Length of the rectangular water reservoir $=12 \mathrm{~m}$
Breadth $=3.5 \mathrm{~m}$
Suppose that the height of the reservoir $=h \mathrm{~m}$
Also, it contains $105 \mathrm{~m}^{3}$ of water, i.e., its volume $=105 \mathrm{~m}^{3}$
Volume of the cuboidal water reservoir $=$ length $\times$ breadth $\times$ height
$\Rightarrow 105=12 \times 3.5 \times h$
$\Rightarrow 105=42 \times h$
$\Rightarrow h=\frac{105}{42}=2.5 \mathrm{~m}$
$\therefore$ The depth of the water in the reservoir is $2.5 \mathrm{~m}$.