The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank W, measuring 46 m by 33 m by 28 m, is filled with water to its brim. Tank V is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release ³₄ of the water from Tank W to Tank V, after which the partition is slid down to separate Tank W and Tank V. Next, Slider 2 is removed and some water from Tank V flows into Tank U such that the height of the water level of Tank V and Tank U is 14 m.

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

(a)
Volume of water in the Tank W that flows into the Tank V
= 46 x 33 x 28 x ³₄ 
= 31878 m³ 

Base area of Tank V and Tank U
= 31878 ÷ 14
= 2277 m² 

Length of Tank U and Tank V
= 2277 ÷ 33
= 69 m

Length of Tank U
= 69 - 26
= 43 m

(b)
Volume of water in Tank V
= 26 x 33 x 14
= 12012 m³ 

Answer(s): (a) 43 m; (b) 12012 m³