The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 55 m by 38 m by 22 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release ³₅ of the water from Tank H to Tank G, after which the partition is slid down to separate Tank H and Tank G. Next, Slider 2 is removed and some water from Tank G flows into Tank F such that the height of the water level of Tank G and Tank F is 11 m.

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

(a)
Volume of water in the Tank H that flows into the Tank G
= 55 x 38 x 22 x ³₅ 
= 27588 m³ 

Base area of Tank G and Tank F
= 27588 ÷ 11
= 2508 m² 

Length of Tank F and Tank G
= 2508 ÷ 38
= 66 m

Length of Tank F
= 66 - 22
= 44 m

(b)
Volume of water in Tank G
= 22 x 38 x 11
= 9196 m³ 

Answer(s): (a) 44 m; (b) 9196 m³