The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank C, measuring 49 m by 36 m by 27 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release ¹₃ of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 9 m.

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

(a)
Volume of water in the Tank C that flows into the Tank B
= 49 x 36 x 27 x ¹₃ 
= 15876 m³ 

Base area of Tank B and Tank A
= 15876 ÷ 9
= 1764 m² 

Length of Tank A and Tank B
= 1764 ÷ 36
= 49 m

Length of Tank A
= 49 - 23
= 26 m

(b)
Volume of water in Tank B
= 23 x 36 x 9
= 7452 m³ 

Answer(s): (a) 26 m; (b) 7452 m³