The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank V, measuring 49 m by 31 m by 24 m, is filled with water to its brim. Tank U is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release ¹₃ of the water from Tank V to Tank U, after which the partition is slid down to separate Tank V and Tank U. Next, Slider 2 is removed and some water from Tank U flows into Tank T such that the height of the water level of Tank U and Tank T is 7 m.

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

(a)
Volume of water in the Tank V that flows into the Tank U
= 49 x 31 x 24 x ¹₃ 
= 12152 m³ 

Base area of Tank U and Tank T
= 12152 ÷ 7
= 1736 m² 

Length of Tank T and Tank U
= 1736 ÷ 31
= 56 m

Length of Tank T
= 56 - 22
= 34 m

(b)
Volume of water in Tank U
= 22 x 31 x 7
= 4774 m³ 

Answer(s): (a) 34 m; (b) 4774 m³