The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube G and Cube H. The tank is filled with some water. Cube G is ³₄ filled with 82944 mℓ of water while Cube H is completely filled with water. The height of the water level in Cube G is 10 cm higher than that in Cube H. 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 G = 82944 mℓ

Volume of Cube G
= 82944 ÷ ³₄
= 82944 x ⁴₃
= 110592 mℓ

Length of Cube G
= ³√110592
= 48 cm 

Height of water in Cube G at first
= ³₄ x 48
= 36 cm

Height of Cube H
= 36 - 10
= 26 cm

Height decrease in water in Cube G after draining
= 36 - 6
= 30 cm

Height decrease in water in Cube G after draining
= 26 - 6
= 20 cm

Volume of water drained in Cube G
= 48 x 48 x 30
= 69120 mℓ

Volume of water drained in Cube H
= 26 x 26 x 20
= 13520 mℓ

Total volume of water drained
= 69120 + 13520
= 82640 mℓ

Answer(s): 82640 mℓ