The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank R, measuring 60 m by 33 m by 21 m, is filled with water to its brim. Tank Q is an empty cuboidal container with a length of 28 m. Slider 1 is lifted to release ¹₂ of the water from Tank R to Tank Q, after which the partition is slid down to separate Tank R and Tank Q. Next, Slider 2 is removed and some water from Tank Q flows into Tank P such that the height of the water level of Tank Q and Tank P is 10 m.

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

(a)
Volume of water in the Tank R that flows into the Container Q
= 60 x 33 x 21 x ¹₂ 
= 20790 m³ 

Base area of Tank Q and Tank P
= 20790 ÷ 10
= 2079 m² 

Length of Tank P and Tank Q
= 2079 ÷ 33
= 63 m

Length of Tank P
= 63 - 28
= 35 m

(b)
Volume of water in Tank Q
= 28 x 33 x 10
= 9240 m³ 

Answer(s): (a) 35 m; (b) 9240 m³