The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3.
Question:
The area of the base of a rectangular tank is 6500 cm2 and the volume of water contained in it is 2.6 m3. The depth of water in the tank is
(a) 3.5 m
(b) 4 m
(c) 5 m
(d) 8 m
Solution:
(b) 4 m
Area of the base of a rectangular tank $=6500 \mathrm{~cm}^{2}$
$=\left(\frac{6500}{100 \times 100}\right) \mathrm{m}^{2}$
$=\frac{13}{20} \mathrm{~m}^{2}$
Let the depth of the water be d metres.
Then,
$\frac{13}{20} \times d=2.6$
$\Rightarrow d=\left(\frac{26}{10} \times \frac{20}{13}\right) \mathrm{m}$
$\Rightarrow d=4 \mathrm{~m}$