This figure is not drawn to scale. A rectangular glass container 90 cm by 56 cm by 45 cm has 2 compartments, L and M, with a water height of 40 cm in L and 16 cm in M. A hole in the slider caused water to leak from L to M. 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 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 L to M in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment L
= 15 x 40 x 56
= 33600 cm³ 

Length of Compartment M
= 90 - 15
= 75 cm

Volume of the water in Compartment M
= 75 x 56 x 16
= 67200 cm³ 

Total volume of water
= 33600 + 67200
= 100800 cm³ 

Base area of the glass container
= 90 x 56
= 5040 cm² 

Height of water
= 100800 ÷ 5040
= 20 cm

(b)
1¹₂ h = 90 min

Drop in the height of Compartment L
= 40 - 20
= 20 cm

Drop in the volume of Compartment L
= 56 x 15 x 20
= 16800 cm³ 

Volume of water flowed from L to M in 1 minute
= 16800 ÷ 90
≈ 186.7 cm³

Answer(s): (a) 20 cm; (b) 186.7 cm³