The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 60 m by 32 m by 21 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 28 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 14 m.
- What is the length of Tank J?
- How many m3 of water are there in Tank K?
(a)
Volume of water in the Tank L that flows into the Tank K
= 60 x 32 x 21 x
12 = 20160 m
3 Base area of Tank K and Tank J
= 20160 ÷ 14
= 1440 m
2 Length of Tank J and Tank K
= 1440 ÷ 32
= 45 m
Length of Tank J
= 45 - 28
= 17 m
(b)
Volume of water in Tank K
= 28 x 32 x 14
= 12544 m
3 Answer(s): (a) 17 m; (b) 12544 m
3