The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 55 m by 35 m by 24 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release ³₅ 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 12 m.

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

(a)
Volume of water in the Tank A that flows into the Tank Z
= 55 x 35 x 24 x ³₅ 
= 27720 m³ 

Base area of Tank Z and Tank Y
= 27720 ÷ 12
= 2310 m² 

Length of Tank Y and Tank Z
= 2310 ÷ 35
= 66 m

Length of Tank Y
= 66 - 30
= 36 m

(b)
Volume of water in Tank Z
= 30 x 35 x 12
= 12600 m³ 

Answer(s): (a) 36 m; (b) 12600 m³