The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube Y and Cube Z. The tank is filled with some water. Cube Y is ³₄ filled with 6000 mℓ of water while Cube Z is completely filled with water. The height of the water level in Cube Y is 5 cm higher than that in Cube Z. 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 Y = 6000 mℓ

Volume of Cube Y
= 6000 ÷ ³₄
= 6000 x ⁴₃
= 8000 mℓ

Length of Cube Y
= ³√8000
= 20 cm 

Height of water in Cube Y at first
= ³₄ x 20
= 15 cm

Height of Cube Z
= 15 - 5
= 10 cm

Height decrease in water in Cube Y after draining
= 15 - 7
= 8 cm

Height decrease in water in Cube Y after draining
= 10 - 7
= 3 cm

Volume of water drained in Cube Y
= 20 x 20 x 8
= 3200 mℓ

Volume of water drained in Cube Z
= 10 x 10 x 3
= 300 mℓ

Total volume of water drained
= 3200 + 300
= 3500 mℓ

Answer(s): 3500 mℓ