The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 60 m by 36 m by 22 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
23 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 10 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
= 60 x 36 x 22 x
23 = 31680 m
3 Base area of Tank K and Tank J
= 31680 ÷ 10
= 3168 m
2 Length of Tank J and Tank K
= 3168 ÷ 36
= 88 m
Length of Tank J
= 88 - 30
= 58 m
(b)
Volume of water in Tank K
= 30 x 36 x 10
= 10800 m
3 Answer(s): (a) 58 m; (b) 10800 m
3