This figure is not drawn to scale. A rectangular glass container 88 cm by 50 cm by 42 cm has 2 compartments, A and B, with a water height of 34 cm in A and 12 cm in B. A hole in the slider caused water to leak from A to B. 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 container 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 A to B in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment A
= 25 x 34 x 50
= 42500 cm³ 

Length of Compartment B
= 88 - 25
= 63 cm

Volume of the water in Compartment B
= 63 x 50 x 12
= 37800 cm³ 

Total volume of water
= 42500 + 37800
= 80300 cm³ 

Base area of the glass container
= 88 x 50
= 4400 cm² 

Height of water
= 80300 ÷ 4400
= 18.25 cm

(b)
1³₄ h = 105 min

Drop in the height of Compartment A
= 34 - 18.25
= 15.75 cm

Drop in the volume of Compartment A
= 50 x 25 x 15.75
= 19687.5 cm³ 

Volume of water flowed from A to B in 1 minute
= 19687.5 ÷ 105
≈ 187.5 cm³

Answer(s): (a) 18.25 cm; (b) 187.5 cm³