The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 52 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 30 m. Slider 1 is lifted to release
13 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 8 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
= 52 x 36 x 24 x
13 = 14976 m
3 Base area of Tank K and Tank J
= 14976 ÷ 8
= 1872 m
2 Length of Tank J and Tank K
= 1872 ÷ 36
= 52 m
Length of Tank J
= 52 - 30
= 22 m
(b)
Volume of water in Tank K
= 30 x 36 x 8
= 8640 m
3 Answer(s): (a) 22 m; (b) 8640 m
3