The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank P, measuring 48 m by 40 m by 22 m, is filled with water to its brim. Tank N is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release ¹₃ of the water from Tank P to Tank N, after which the partition is slid down to separate Tank P and Tank N. Next, Slider 2 is removed and some water from Tank N flows into Tank M such that the height of the water level of Tank N and Tank M is 8 m.

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

(a)
Volume of water in the Tank P that flows into the Container N
= 48 x 40 x 22 x ¹₃ 
= 14080 m³ 

Base area of Tank N and Tank M
= 14080 ÷ 8
= 1760 m² 

Length of Tank M and Tank N
= 1760 ÷ 40
= 44 m

Length of Tank M
= 44 - 21
= 23 m

(b)
Volume of water in Tank N
= 21 x 40 x 8
= 6720 m³ 

Answer(s): (a) 23 m; (b) 6720 m³