The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube Z and Cube A. The tank is filled with some water. Cube Z is ²₃ filled with 23958 mℓ of water while Cube A is completely filled with water. The height of the water level in Cube Z is 7 cm higher than that in Cube A. 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 Z = 23958 mℓ

Volume of Cube Z
= 23958 ÷ ²₃
= 23958 x ³₂
= 35937 mℓ

Length of Cube Z
= ³√35937
= 33 cm 

Height of water in Cube Z at first
= ²₃ x 33
= 22 cm

Height of Cube A
= 22 - 7
= 15 cm

Height decrease in water in Cube Z after draining
= 22 - 3
= 19 cm

Height decrease in water in Cube Z after draining
= 15 - 3
= 12 cm

Volume of water drained in Cube Z
= 33 x 33 x 19
= 20691 mℓ

Volume of water drained in Cube A
= 15 x 15 x 12
= 2700 mℓ

Total volume of water drained
= 20691 + 2700
= 23391 mℓ

Answer(s): 23391 mℓ