A cuboidal tank has a capacity of 5184 liters. If the ratio of the length, breadth and height is 2 : 3 : 4, then the length of the tank is:-

140 cm 120 cm 160 cm 190 cm

120 cm

Capacity of the tank = 5184 l = 5184 × 1000 m³ Volume = l × b × h ⇒ 5184 × 1000 = 2x × 3x × 4x ⇒ 5184 × 1000 = 24x³ ⇒ x = \(\sqrt[3]{216 × 1000}\) = 60 Length = 2 × 60 = 120 cm