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 ²₃ filled with 60750 mℓ of water while Cube X is completely filled with water. The height of the water level in Cube W is 7 cm higher than that in Cube X. Water is then drained from the tank and the height of the new water level is 3 cm. What is the volume of the water drained in mℓ?
²₃ of the volume of Cube W = 60750 mℓ

Volume of Cube W
= 60750 ÷ ²₃
= 60750 x ³₂
= 91125 mℓ

Length of Cube W
= ³√91125
= 45 cm 

Height of water in Cube W at first
= ²₃ x 45
= 30 cm

Height of Cube X
= 30 - 7
= 23 cm

Height decrease in water in Cube W after draining
= 30 - 3
= 27 cm

Height decrease in water in Cube W after draining
= 23 - 3
= 20 cm

Volume of water drained in Cube W
= 45 x 45 x 27
= 54675 mℓ

Volume of water drained in Cube X
= 23 x 23 x 20
= 10580 mℓ

Total volume of water drained
= 54675 + 10580
= 65255 mℓ

Answer(s): 65255 mℓ