The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 57 m by 32 m by 21 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ²₃ 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 6 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
= 57 x 32 x 21 x ²₃ 
= 25536 m³ 

Base area of Tank G and Tank F
= 25536 ÷ 6
= 4256 m² 

Length of Tank F and Tank G
= 4256 ÷ 32
= 133 m

Length of Tank F
= 133 - 26
= 107 m

(b)
Volume of water in Tank G
= 26 x 32 x 6
= 4992 m³ 

Answer(s): (a) 107 m; (b) 4992 m³