The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 55 m by 31 m by 27 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release ¹₃ of the water from Tank Y to Tank X, after which the partition is slid down to separate Tank Y and Tank X. Next, Slider 2 is removed and some water from Tank X flows into Tank W such that the height of the water level of Tank X and Tank W is 11 m.

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

(a)
Volume of water in the Tank Y that flows into the Tank X
= 55 x 31 x 27 x ¹₃ 
= 15345 m³ 

Base area of Tank X and Tank W
= 15345 ÷ 11
= 1395 m² 

Length of Tank W and Tank X
= 1395 ÷ 31
= 45 m

Length of Tank W
= 45 - 30
= 15 m

(b)
Volume of water in Tank X
= 30 x 31 x 11
= 10230 m³ 

Answer(s): (a) 15 m; (b) 10230 m³