The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank N, measuring 48 m by 39 m by 25 m, is filled with water to its brim. Tank M is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
35 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 12 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
= 48 x 39 x 25 x
35 = 28080 m
3 Base area of Tank M and Tank L
= 28080 ÷ 12
= 2340 m
2 Length of Tank L and Tank M
= 2340 ÷ 39
= 60 m
Length of Tank L
= 60 - 24
= 36 m
(b)
Volume of water in Tank M
= 24 x 39 x 12
= 11232 m
3 Answer(s): (a) 36 m; (b) 11232 m
3