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 ³₄ filled with 55566 mℓ of water while Cube A is completely filled with water. The height of the water level in Cube Z is 5 cm higher than that in Cube A. Water is then drained from the tank and the height of the new water level is 8 cm. What is the volume of the water drained in mℓ?
³₄ of the volume of Cube Z = 55566 mℓ

Volume of Cube Z
= 55566 ÷ ³₄
= 55566 x ⁴₃
= 74088 mℓ

Length of Cube Z
= ³√74088
= 42 cm 

Height of water in Cube Z at first
= ³₄ x 42
= 31.5 cm

Height of Cube A
= 31.5 - 5
= 26.5 cm

Height decrease in water in Cube Z after draining
= 31.5 - 8
= 23.5 cm

Height decrease in water in Cube Z after draining
= 26.5 - 8
= 18.5 cm

Volume of water drained in Cube Z
= 42 x 42 x 23.5
= 41454 mℓ

Volume of water drained in Cube A
= 26.5 x 26.5 x 18.5
= 12991.625 mℓ

Total volume of water drained
= 41454 + 12991.625
= 54445.625 mℓ

Answer(s): 54445.625 mℓ