This figure is not drawn to scale. A rectangular glass tank 70 cm by 57 cm by 46 cm has 2 compartments, W and X, with a water height of 36 cm in W and 13 cm in X. A hole in the slider caused water to leak from W to X. 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 1³₄ 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 W to X in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment W
= 35 x 36 x 57
= 71820 cm³ 

Length of Compartment X
= 70 - 35
= 35 cm

Volume of the water in Compartment X
= 35 x 57 x 13
= 25935 cm³ 

Total volume of water
= 71820 + 25935
= 97755 cm³ 

Base area of the glass tank
= 70 x 57
= 3990 cm² 

Height of water
= 97755 ÷ 3990
= 24.5 cm

(b)
1³₄ h = 105 min

Drop in the height of Compartment W
= 36 - 24.5
= 11.5 cm

Drop in the volume of Compartment W
= 57 x 35 x 11.5
= 22942.5 cm³ 

Volume of water flowed from W to X in 1 minute
= 22942.5 ÷ 105
≈ 218.5 cm³

Answer(s): (a) 24.5 cm; (b) 218.5 cm³