The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Q, measuring 50 m by 37 m by 27 m, is filled with water to its brim. Tank P is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
25 of the water from Tank Q to Tank P, after which the partition is slid down to separate Tank Q and Tank P. Next, Slider 2 is removed and some water from Tank P flows into Tank N such that the height of the water level of Tank P and Tank N is 12 m.
- What is the length of Container N?
- How many m3 of water are there in Container P?
(a)
Volume of water in the Tank Q that flows into the Container P
= 50 x 37 x 27 x
25 = 19980 m
3 Base area of Tank P and Tank N
= 19980 ÷ 12
= 1665 m
2 Length of Tank N and Tank P
= 1665 ÷ 37
= 45 m
Length of Tank N
= 45 - 24
= 21 m
(b)
Volume of water in Tank P
= 24 x 37 x 12
= 10656 m
3 Answer(s): (a) 21 m; (b) 10656 m
3