This figure is not drawn to scale. A rectangular glass tank 72 cm by 58 cm by 46 cm has 2 compartments, B and C, with a water height of 32 cm in B and 14 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 1¹₄ 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
= 11 x 32 x 58
= 20416 cm³ 

Length of Compartment C
= 72 - 11
= 61 cm

Volume of the water in Compartment C
= 61 x 58 x 14
= 49532 cm³ 

Total volume of water
= 20416 + 49532
= 69948 cm³ 

Base area of the glass tank
= 72 x 58
= 4176 cm² 

Height of water
= 69948 ÷ 4176
= 16.75 cm

(b)
1¹₄ h = 75 min

Drop in the height of Compartment B
= 32 - 16.75
= 15.25 cm

Drop in the volume of Compartment B
= 58 x 11 x 15.25
= 9729.5 cm³ 

Volume of water flowed from B to C in 1 minute
= 9729.5 ÷ 75
≈ 129.7 cm³

Answer(s): (a) 16.75 cm; (b) 129.7 cm³