The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube W and Cube X. The tank is filled with some water. Cube W is ³₄ filled with 13182 mℓ of water while Cube X is completely filled with water. The height of the water level in Cube W is 5 cm higher than that in Cube X. Water is then drained from the tank and the height of the new water level is 6 cm. What is the volume of the water drained in mℓ?
³₄ of the volume of Cube W = 13182 mℓ

Volume of Cube W
= 13182 ÷ ³₄
= 13182 x ⁴₃
= 17576 mℓ

Length of Cube W
= ³√17576
= 26 cm 

Height of water in Cube W at first
= ³₄ x 26
= 19.5 cm

Height of Cube X
= 19.5 - 5
= 14.5 cm

Height decrease in water in Cube W after draining
= 19.5 - 6
= 13.5 cm

Height decrease in water in Cube W after draining
= 14.5 - 6
= 8.5 cm

Volume of water drained in Cube W
= 26 x 26 x 13.5
= 9126 mℓ

Volume of water drained in Cube X
= 14.5 x 14.5 x 8.5
= 1787.125 mℓ

Total volume of water drained
= 9126 + 1787.125
= 10913.125 mℓ

Answer(s): 10913.125 mℓ