The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 48 m by 35 m by 26 m, is filled with water to its brim. Tank C is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release ¹₃ of the water from Tank D to Tank C, after which the partition is slid down to separate Tank D and Tank C. Next, Slider 2 is removed and some water from Tank C flows into Tank B such that the height of the water level of Tank C and Tank B is 13 m.

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

(a)
Volume of water in the Tank D that flows into the Tank C
= 48 x 35 x 26 x ¹₃ 
= 14560 m³ 

Base area of Tank C and Tank B
= 14560 ÷ 13
= 1120 m² 

Length of Tank B and Tank C
= 1120 ÷ 35
= 32 m

Length of Tank B
= 32 - 21
= 11 m

(b)
Volume of water in Tank C
= 21 x 35 x 13
= 9555 m³ 

Answer(s): (a) 11 m; (b) 9555 m³