The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 60 m by 31 m by 26 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release ¹₂ of the water from Tank L to Tank K, after which the partition is slid down to separate Tank L and Tank K. Next, Slider 2 is removed and some water from Tank K flows into Tank J such that the height of the water level of Tank K and Tank J is 6 m.

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

(a)
Volume of water in the Tank L that flows into the Tank K
= 60 x 31 x 26 x ¹₂ 
= 24180 m³ 

Base area of Tank K and Tank J
= 24180 ÷ 6
= 4030 m² 

Length of Tank J and Tank K
= 4030 ÷ 31
= 130 m

Length of Tank J
= 130 - 29
= 101 m

(b)
Volume of water in Tank K
= 29 x 31 x 6
= 5394 m³ 

Answer(s): (a) 101 m; (b) 5394 m³