The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube K and Cube L. The tank is filled with some water. Cube K is ²₃ filled with 9216 mℓ of water while Cube L is completely filled with water. The height of the water level in Cube K is 9 cm higher than that in Cube L. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
²₃ of the volume of Cube K = 9216 mℓ

Volume of Cube K
= 9216 ÷ ²₃
= 9216 x ³₂
= 13824 mℓ

Length of Cube K
= ³√13824
= 24 cm 

Height of water in Cube K at first
= ²₃ x 24
= 16 cm

Height of Cube L
= 16 - 9
= 7 cm

Height decrease in water in Cube K after draining
= 16 - 5
= 11 cm

Height decrease in water in Cube K after draining
= 7 - 5
= 2 cm

Volume of water drained in Cube K
= 24 x 24 x 11
= 6336 mℓ

Volume of water drained in Cube L
= 7 x 7 x 2
= 98 mℓ

Total volume of water drained
= 6336 + 98
= 6434 mℓ

Answer(s): 6434 mℓ