The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank C, measuring 46 m by 40 m by 30 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release ¹₂ 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 15 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
= 46 x 40 x 30 x ¹₂ 
= 27600 m³ 

Base area of Tank B and Tank A
= 27600 ÷ 15
= 1840 m² 

Length of Tank A and Tank B
= 1840 ÷ 40
= 46 m

Length of Tank A
= 46 - 25
= 21 m

(b)
Volume of water in Tank B
= 25 x 40 x 15
= 15000 m³ 

Answer(s): (a) 21 m; (b) 15000 m³