The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank M, measuring 40 m by 31 m by 27 m, is filled with water to its brim. Tank L is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
12 of the water from Tank M to Tank L, after which the partition is slid down to separate Tank M and Tank L. Next, Slider 2 is removed and some water from Tank L flows into Tank K such that the height of the water level of Tank L and Tank K is 9 m.
- What is the length of Tank K?
- How many m3 of water are there in Tank L?
(a)
Volume of water in the Tank M that flows into the Tank L
= 40 x 31 x 27 x
12 = 16740 m
3 Base area of Tank L and Tank K
= 16740 ÷ 9
= 1860 m
2 Length of Tank K and Tank L
= 1860 ÷ 31
= 60 m
Length of Tank K
= 60 - 30
= 30 m
(b)
Volume of water in Tank L
= 30 x 31 x 9
= 8370 m
3 Answer(s): (a) 30 m; (b) 8370 m
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