A cuboidal tank has 25000 litres of water. If the depth of the cuboid is $\frac{1}{5}$ of its length and breadth is $\frac{1}{8}$ of its length, then the length of the tank is:
Answer & explanation
Correct answer: option 2
We know that,
Volume of a cuboid = lbh
We have,
Volume of tank = 25000 litres
Depth of cuboid = \(\frac{1}{5}\) of length
Breadth of cuboid = \(\frac{1}{8}\) of length
We also know, 1000 litres = 1 m3
25000 litres = 25 m3
Let the length of the tank = L
Depth of tank = L × \(\frac{1}{5}\) = \(\frac{L}{5}\)
Breadth of tank = L × \(\frac{1}{8}\) = \(\frac{L}{8}\)
Volume of a cuboid = L × \(\frac{L}{5}\) × \(\frac{L}{5}\) = 25
= L = 5 × 2 = 10 m