This figure is not drawn to scale. A rectangular glass container 88 cm by 59 cm by 45 cm has 2 compartments, K and L, with a water height of 39 cm in K and 17 cm in L. A hole in the slider caused water to leak from K to L. 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 K to L in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment K
= 14 x 39 x 59
= 32214 cm³ 

Length of Compartment L
= 88 - 14
= 74 cm

Volume of the water in Compartment L
= 74 x 59 x 17
= 74222 cm³ 

Total volume of water
= 32214 + 74222
= 106436 cm³ 

Base area of the glass container
= 88 x 59
= 5192 cm² 

Height of water
= 106436 ÷ 5192
= 20.5 cm

(b)
1¹₂ h = 90 min

Drop in the height of Compartment K
= 39 - 20.5
= 18.5 cm

Drop in the volume of Compartment K
= 59 x 14 x 18.5
= 15281 cm³ 

Volume of water flowed from K to L in 1 minute
= 15281 ÷ 90
≈ 169.8 cm³

Answer(s): (a) 20.5 cm; (b) 169.8 cm³