The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube B and Cube C. The tank is filled with some water. Cube B is ³₄ filled with 16464 mℓ of water while Cube C is completely filled with water. The height of the water level in Cube B is 8 cm higher than that in Cube C. Water is then drained from the tank and the height of the new water level is 7 cm. What is the volume of the water drained in mℓ?
³₄ of the volume of Cube B = 16464 mℓ

Volume of Cube B
= 16464 ÷ ³₄
= 16464 x ⁴₃
= 21952 mℓ

Length of Cube B
= ³√21952
= 28 cm 

Height of water in Cube B at first
= ³₄ x 28
= 21 cm

Height of Cube C
= 21 - 8
= 13 cm

Height decrease in water in Cube B after draining
= 21 - 7
= 14 cm

Height decrease in water in Cube B after draining
= 13 - 7
= 6 cm

Volume of water drained in Cube B
= 28 x 28 x 14
= 10976 mℓ

Volume of water drained in Cube C
= 13 x 13 x 6
= 1014 mℓ

Total volume of water drained
= 10976 + 1014
= 11990 mℓ

Answer(s): 11990 mℓ