The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 56 m by 36 m by 21 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ²₃ 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 8 m.

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

(a)
Volume of water in the Tank N that flows into the Tank M
= 56 x 36 x 21 x ²₃ 
= 28224 m³ 

Base area of Tank M and Tank L
= 28224 ÷ 8
= 3528 m² 

Length of Tank L and Tank M
= 3528 ÷ 36
= 98 m

Length of Tank L
= 98 - 26
= 72 m

(b)
Volume of water in Tank M
= 26 x 36 x 8
= 7488 m³ 

Answer(s): (a) 72 m; (b) 7488 m³