This figure is not drawn to scale. A rectangular glass tank 78 cm by 56 cm by 44 cm has 2 compartments, J and K, with a water height of 40 cm in J and 14 cm in K. A hole in the slider caused water to leak from J to K. It was found that the water level in both compartments became the same after some time.

1. What is the height of water in the tank now?
2. It took 1¹₂ h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from J to K in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment J
= 30 x 40 x 56
= 67200 cm³ 

Length of Compartment K
= 78 - 30
= 48 cm

Volume of the water in Compartment K
= 48 x 56 x 14
= 37632 cm³ 

Total volume of water
= 67200 + 37632
= 104832 cm³ 

Base area of the glass tank
= 78 x 56
= 4368 cm² 

Height of water
= 104832 ÷ 4368
= 24 cm

(b)
1¹₂ h = 90 min

Drop in the height of Compartment J
= 40 - 24
= 16 cm

Drop in the volume of Compartment J
= 56 x 30 x 16
= 26880 cm³ 

Volume of water flowed from J to K in 1 minute
= 26880 ÷ 90
≈ 298.7 cm³

Answer(s): (a) 24 cm; (b) 298.7 cm³