The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Q, measuring 50 m by 35 m by 25 m, is filled with water to its brim. Tank P is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release
35 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 15 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 35 x 25 x
35 = 26250 m
3 Base area of Tank P and Tank N
= 26250 ÷ 15
= 1750 m
2 Length of Tank N and Tank P
= 1750 ÷ 35
= 50 m
Length of Tank N
= 50 - 23
= 27 m
(b)
Volume of water in Tank P
= 23 x 35 x 15
= 12075 m
3 Answer(s): (a) 27 m; (b) 12075 m
3