The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 57 m by 36 m by 30 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
12 of the water from Tank L to Tank K, after which the partition is slid down to separate Tank L and Tank K. Next, Slider 2 is removed and some water from Tank K flows into Tank J such that the height of the water level of Tank K and Tank J is 9 m.
- What is the length of Container J?
- How many m3 of water are there in Container K?
(a)
Volume of water in the Tank L that flows into the Container K
= 57 x 36 x 30 x
12 = 30780 m
3 Base area of Tank K and Tank J
= 30780 ÷ 9
= 3420 m
2 Length of Tank J and Tank K
= 3420 ÷ 36
= 95 m
Length of Tank J
= 95 - 25
= 70 m
(b)
Volume of water in Tank K
= 25 x 36 x 9
= 8100 m
3 Answer(s): (a) 70 m; (b) 8100 m
3