The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank C, measuring 51 m by 38 m by 24 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 28 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 12 m.

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

(a)
Volume of water in the Tank C that flows into the Container B
= 51 x 38 x 24 x ¹₃ 
= 15504 m³ 

Base area of Tank B and Tank A
= 15504 ÷ 12
= 1292 m² 

Length of Tank A and Tank B
= 1292 ÷ 38
= 34 m

Length of Tank A
= 34 - 28
= 6 m

(b)
Volume of water in Tank B
= 28 x 38 x 12
= 12768 m³ 

Answer(s): (a) 6 m; (b) 12768 m³