The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank M, measuring 55 m by 38 m by 25 m, is filled with water to its brim. Tank L is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
35 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 11 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
= 55 x 38 x 25 x
35 = 31350 m
3 Base area of Tank L and Tank K
= 31350 ÷ 11
= 2850 m
2 Length of Tank K and Tank L
= 2850 ÷ 38
= 75 m
Length of Tank K
= 75 - 24
= 51 m
(b)
Volume of water in Tank L
= 24 x 38 x 11
= 10032 m
3 Answer(s): (a) 51 m; (b) 10032 m
3