The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 45 m by 34 m by 26 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 22 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 9 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
= 45 x 34 x 26 x
12 = 19890 m
3 Base area of Tank M and Tank L
= 19890 ÷ 9
= 2210 m
2 Length of Tank L and Tank M
= 2210 ÷ 34
= 65 m
Length of Tank L
= 65 - 22
= 43 m
(b)
Volume of water in Tank M
= 22 x 34 x 9
= 6732 m
3 Answer(s): (a) 43 m; (b) 6732 m
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