The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 41 m by 32 m by 25 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 24 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 10 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
= 41 x 32 x 25 x ²₅ 
= 13120 m³ 

Base area of Tank M and Tank L
= 13120 ÷ 10
= 1312 m² 

Length of Tank L and Tank M
= 1312 ÷ 32
= 41 m

Length of Tank L
= 41 - 24
= 17 m

(b)
Volume of water in Tank M
= 24 x 32 x 10
= 7680 m³ 

Answer(s): (a) 17 m; (b) 7680 m³