The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 45 m by 37 m by 28 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release ²₅ of the water from Tank A to Tank Z, after which the partition is slid down to separate Tank A and Tank Z. Next, Slider 2 is removed and some water from Tank Z flows into Tank Y such that the height of the water level of Tank Z and Tank Y is 8 m.

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

(a)
Volume of water in the Tank A that flows into the Container Z
= 45 x 37 x 28 x ²₅ 
= 18648 m³ 

Base area of Tank Z and Tank Y
= 18648 ÷ 8
= 2331 m² 

Length of Tank Y and Tank Z
= 2331 ÷ 37
= 63 m

Length of Tank Y
= 63 - 22
= 41 m

(b)
Volume of water in Tank Z
= 22 x 37 x 8
= 6512 m³ 

Answer(s): (a) 41 m; (b) 6512 m³