The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 54 m by 30 m by 30 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release ³₅ of the water from Tank E to Tank D, after which the partition is slid down to separate Tank E and Tank D. Next, Slider 2 is removed and some water from Tank D flows into Tank C such that the height of the water level of Tank D and Tank C is 12 m.

1. What is the length of Container C?
2. How many m³ of water are there in Container D?

(a)
Volume of water in the Tank E that flows into the Container D
= 54 x 30 x 30 x ³₅ 
= 29160 m³ 

Base area of Tank D and Tank C
= 29160 ÷ 12
= 2430 m² 

Length of Tank C and Tank D
= 2430 ÷ 30
= 81 m

Length of Tank C
= 81 - 30
= 51 m

(b)
Volume of water in Tank D
= 30 x 30 x 12
= 10800 m³ 

Answer(s): (a) 51 m; (b) 10800 m³