The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 41 m by 36 m by 24 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 20 m. Slider 1 is lifted to release
34 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
= 41 x 36 x 24 x
34 = 26568 m
3 Base area of Tank K and Tank J
= 26568 ÷ 9
= 2952 m
2 Length of Tank J and Tank K
= 2952 ÷ 36
= 82 m
Length of Tank J
= 82 - 20
= 62 m
(b)
Volume of water in Tank K
= 20 x 36 x 9
= 6480 m
3 Answer(s): (a) 62 m; (b) 6480 m
3