The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Z, measuring 48 m by 33 m by 20 m, is filled with water to its brim. Tank Y is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release ³₅ 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
= 48 x 33 x 20 x ³₅ 
= 19008 m³ 

Base area of Tank Y and Tank X
= 19008 ÷ 6
= 3168 m² 

Length of Tank X and Tank Y
= 3168 ÷ 33
= 96 m

Length of Tank X
= 96 - 30
= 66 m

(b)
Volume of water in Tank Y
= 30 x 33 x 6
= 5940 m³ 

Answer(s): (a) 66 m; (b) 5940 m³