The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 54 m by 40 m by 20 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release ¹₃ 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 5 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
= 54 x 40 x 20 x ¹₃ 
= 14400 m³ 

Base area of Tank G and Tank F
= 14400 ÷ 5
= 2880 m² 

Length of Tank F and Tank G
= 2880 ÷ 40
= 72 m

Length of Tank F
= 72 - 27
= 45 m

(b)
Volume of water in Tank G
= 27 x 40 x 5
= 5400 m³ 

Answer(s): (a) 45 m; (b) 5400 m³