The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank S, measuring 60 m by 36 m by 27 m, is filled with water to its brim. Tank R is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release ³₄ of the water from Tank S to Tank R, after which the partition is slid down to separate Tank S and Tank R. Next, Slider 2 is removed and some water from Tank R flows into Tank Q such that the height of the water level of Tank R and Tank Q is 15 m.

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

(a)
Volume of water in the Tank S that flows into the Tank R
= 60 x 36 x 27 x ³₄ 
= 43740 m³ 

Base area of Tank R and Tank Q
= 43740 ÷ 15
= 2916 m² 

Length of Tank Q and Tank R
= 2916 ÷ 36
= 81 m

Length of Tank Q
= 81 - 24
= 57 m

(b)
Volume of water in Tank R
= 24 x 36 x 15
= 12960 m³ 

Answer(s): (a) 57 m; (b) 12960 m³