The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Q, measuring 50 m by 34 m by 26 m, is filled with water to its brim. Tank P is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ¹₂ of the water from Tank Q to Tank P, after which the partition is slid down to separate Tank Q and Tank P. Next, Slider 2 is removed and some water from Tank P flows into Tank N such that the height of the water level of Tank P and Tank N is 13 m.

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

(a)
Volume of water in the Tank Q that flows into the Tank P
= 50 x 34 x 26 x ¹₂ 
= 22100 m³ 

Base area of Tank P and Tank N
= 22100 ÷ 13
= 1700 m² 

Length of Tank N and Tank P
= 1700 ÷ 34
= 50 m

Length of Tank N
= 50 - 26
= 24 m

(b)
Volume of water in Tank P
= 26 x 34 x 13
= 11492 m³ 

Answer(s): (a) 24 m; (b) 11492 m³