The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 45 m by 39 m by 27 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release ²₅ of the water from Tank N to Tank M, after which the partition is slid down to separate Tank N and Tank M. Next, Slider 2 is removed and some water from Tank M flows into Tank L such that the height of the water level of Tank M and Tank L is 9 m.

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

(a)
Volume of water in the Tank N that flows into the Container M
= 45 x 39 x 27 x ²₅ 
= 18954 m³ 

Base area of Tank M and Tank L
= 18954 ÷ 9
= 2106 m² 

Length of Tank L and Tank M
= 2106 ÷ 39
= 54 m

Length of Tank L
= 54 - 22
= 32 m

(b)
Volume of water in Tank M
= 22 x 39 x 9
= 7722 m³ 

Answer(s): (a) 32 m; (b) 7722 m³