The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Z, measuring 50 m by 39 m by 24 m, is filled with water to its brim. Tank Y is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release ³₄ of the water from Tank Z to Tank Y, after which the partition is slid down to separate Tank Z and Tank Y. Next, Slider 2 is removed and some water from Tank Y flows into Tank X such that the height of the water level of Tank Y and Tank X is 6 m.

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

(a)
Volume of water in the Tank Z that flows into the Tank Y
= 50 x 39 x 24 x ³₄ 
= 35100 m³ 

Base area of Tank Y and Tank X
= 35100 ÷ 6
= 5850 m² 

Length of Tank X and Tank Y
= 5850 ÷ 39
= 150 m

Length of Tank X
= 150 - 22
= 128 m

(b)
Volume of water in Tank Y
= 22 x 39 x 6
= 5148 m³ 

Answer(s): (a) 128 m; (b) 5148 m³