Question

A rectangular water tank of base $12m\times 10m$ contains water upto a height of 4 m. If the water in the tank is transferred to a square tank of side 8m, find the height of the water level in the tank. (in m)

Answer 1

Given, dimensions of base of rectangular tank $=12m\times 10m$

height of water = 4 m
Volume of the water in rectangular tank $=12\times 10\times 4$

Let the height of water in square tank be x.

Hence, Volume of water in square tank= $12\times 10\times 4$

$\Rightarrow 8\times 8\times h=12\times 10\times 4$

$\Rightarrow h=\frac{12\times 10\times 4}{64}$

$\Rightarrow h=7.5m$