This figure is not drawn to scale. A rectangular glass tank 75 cm by 52 cm by 50 cm has 2 compartments, B and C, with a water height of 30 cm in B and 12 cm in C. A hole in the slider caused water to leak from B to C. 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 1¹₅ 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 B to C in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment B
= 23 x 30 x 52
= 35880 cm³ 

Length of Compartment C
= 75 - 23
= 52 cm

Volume of the water in Compartment C
= 52 x 52 x 12
= 32448 cm³ 

Total volume of water
= 35880 + 32448
= 68328 cm³ 

Base area of the glass tank
= 75 x 52
= 3900 cm² 

Height of water
= 68328 ÷ 3900
= 17.52 cm

(b)
1¹₅ h = 72 min

Drop in the height of Compartment B
= 30 - 17.52
= 12.48 cm

Drop in the volume of Compartment B
= 52 x 23 x 12.48
= 14926.08 cm³ 

Volume of water flowed from B to C in 1 minute
= 14926.08 ÷ 72
≈ 207.3 cm³

Answer(s): (a) 17.52 cm; (b) 207.3 cm³