The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 50 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 23 m. Slider 1 is lifted to release
35 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 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
= 50 x 36 x 24 x
35 = 25920 m
3 Base area of Tank K and Tank J
= 25920 ÷ 9
= 2880 m
2 Length of Tank J and Tank K
= 2880 ÷ 36
= 80 m
Length of Tank J
= 80 - 23
= 57 m
(b)
Volume of water in Tank K
= 23 x 36 x 9
= 7452 m
3 Answer(s): (a) 57 m; (b) 7452 m
3