The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank M, measuring 56 m by 33 m by 30 m, is filled with water to its brim. Tank L is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
13 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 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
= 56 x 33 x 30 x
13 = 18480 m
3 Base area of Tank L and Tank K
= 18480 ÷ 8
= 2310 m
2 Length of Tank K and Tank L
= 2310 ÷ 33
= 70 m
Length of Tank K
= 70 - 25
= 45 m
(b)
Volume of water in Tank L
= 25 x 33 x 8
= 6600 m
3 Answer(s): (a) 45 m; (b) 6600 m
3