The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank X, measuring 43 m by 30 m by 25 m, is filled with water to its brim. Tank W is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release ²₅ of the water from Tank X to Tank W, after which the partition is slid down to separate Tank X and Tank W. Next, Slider 2 is removed and some water from Tank W flows into Tank V such that the height of the water level of Tank W and Tank V is 10 m.

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

(a)
Volume of water in the Tank X that flows into the Tank W
= 43 x 30 x 25 x ²₅ 
= 12900 m³ 

Base area of Tank W and Tank V
= 12900 ÷ 10
= 1290 m² 

Length of Tank V and Tank W
= 1290 ÷ 30
= 43 m

Length of Tank V
= 43 - 29
= 14 m

(b)
Volume of water in Tank W
= 29 x 30 x 10
= 8700 m³ 

Answer(s): (a) 14 m; (b) 8700 m³