The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank M, measuring 55 m by 37 m by 20 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
25 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 8 m.
- What is the length of Container K?
- How many m3 of water are there in Container L?
(a)
Volume of water in the Tank M that flows into the Container L
= 55 x 37 x 20 x
25 = 16280 m
3 Base area of Tank L and Tank K
= 16280 ÷ 8
= 2035 m
2 Length of Tank K and Tank L
= 2035 ÷ 37
= 55 m
Length of Tank K
= 55 - 30
= 25 m
(b)
Volume of water in Tank L
= 30 x 37 x 8
= 8880 m
3 Answer(s): (a) 25 m; (b) 8880 m
3