The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 55 m by 30 m by 28 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
12 of the water from Tank N to Tank M, after which the partition is slid down to separate Tank N and Tank M. Next, Slider 2 is removed and some water from Tank M flows into Tank L such that the height of the water level of Tank M and Tank L is 7 m.
- What is the length of Tank L?
- How many m3 of water are there in Tank M?
(a)
Volume of water in the Tank N that flows into the Tank M
= 55 x 30 x 28 x
12 = 23100 m
3 Base area of Tank M and Tank L
= 23100 ÷ 7
= 3300 m
2 Length of Tank L and Tank M
= 3300 ÷ 30
= 110 m
Length of Tank L
= 110 - 27
= 83 m
(b)
Volume of water in Tank M
= 27 x 30 x 7
= 5670 m
3 Answer(s): (a) 83 m; (b) 5670 m
3