The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 56 m by 34 m by 24 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ¹₃ of the water from Tank G to Tank F, after which the partition is slid down to separate Tank G and Tank F. Next, Slider 2 is removed and some water from Tank F flows into Tank E such that the height of the water level of Tank F and Tank E is 7 m.

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

(a)
Volume of water in the Tank G that flows into the Tank F
= 56 x 34 x 24 x ¹₃ 
= 15232 m³ 

Base area of Tank F and Tank E
= 15232 ÷ 7
= 2176 m² 

Length of Tank E and Tank F
= 2176 ÷ 34
= 64 m

Length of Tank E
= 64 - 26
= 38 m

(b)
Volume of water in Tank F
= 26 x 34 x 7
= 6188 m³ 

Answer(s): (a) 38 m; (b) 6188 m³