The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank P, measuring 60 m by 39 m by 24 m, is filled with water to its brim. Tank N is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
13 of the water from Tank P to Tank N, after which the partition is slid down to separate Tank P and Tank N. Next, Slider 2 is removed and some water from Tank N flows into Tank M such that the height of the water level of Tank N and Tank M is 10 m.
- What is the length of Tank M?
- How many m3 of water are there in Tank N?
(a)
Volume of water in the Tank P that flows into the Tank N
= 60 x 39 x 24 x
13 = 18720 m
3 Base area of Tank N and Tank M
= 18720 ÷ 10
= 1872 m
2 Length of Tank M and Tank N
= 1872 ÷ 39
= 48 m
Length of Tank M
= 48 - 27
= 21 m
(b)
Volume of water in Tank N
= 27 x 39 x 10
= 10530 m
3 Answer(s): (a) 21 m; (b) 10530 m
3