This figure is not drawn to scale. A rectangular glass container 80 cm by 52 cm by 44 cm has 2 compartments, H and J, with a water height of 36 cm in H and 20 cm in J. A hole in the slider caused water to leak from H to J. 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 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 H to J in 1 minute? Express your answer to 1 decimal place in cm³.

(a)
Volume of water in Compartment H
= 29 x 36 x 52
= 54288 cm³ 

Length of Compartment J
= 80 - 29
= 51 cm

Volume of the water in Compartment J
= 51 x 52 x 20
= 53040 cm³ 

Total volume of water
= 54288 + 53040
= 107328 cm³ 

Base area of the glass container
= 80 x 52
= 4160 cm² 

Height of water
= 107328 ÷ 4160
= 25.8 cm

(b)
1¹₄ h = 75 min

Drop in the height of Compartment H
= 36 - 25.8
= 10.2 cm

Drop in the volume of Compartment H
= 52 x 29 x 10.2
= 15381.6 cm³ 

Volume of water flowed from H to J in 1 minute
= 15381.6 ÷ 75
≈ 205.1 cm³

Answer(s): (a) 25.8 cm; (b) 205.1 cm³