The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Q, measuring 54 m by 31 m by 21 m, is filled with water to its brim. Tank P is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ²₃ of the water from Tank Q to Tank P, after which the partition is slid down to separate Tank Q and Tank P. Next, Slider 2 is removed and some water from Tank P flows into Tank N such that the height of the water level of Tank P and Tank N is 6 m.

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

(a)
Volume of water in the Tank Q that flows into the Container P
= 54 x 31 x 21 x ²₃ 
= 23436 m³ 

Base area of Tank P and Tank N
= 23436 ÷ 6
= 3906 m² 

Length of Tank N and Tank P
= 3906 ÷ 31
= 126 m

Length of Tank N
= 126 - 26
= 100 m

(b)
Volume of water in Tank P
= 26 x 31 x 6
= 4836 m³ 

Answer(s): (a) 100 m; (b) 4836 m³