The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Z, measuring 56 m by 40 m by 25 m, is filled with water to its brim. Tank Y is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release
14 of the water from Tank Z to Tank Y, after which the partition is slid down to separate Tank Z and Tank Y. Next, Slider 2 is removed and some water from Tank Y flows into Tank X such that the height of the water level of Tank Y and Tank X is 7 m.
- What is the length of Tank X?
- How many m3 of water are there in Tank Y?
(a)
Volume of water in the Tank Z that flows into the Tank Y
= 56 x 40 x 25 x
14 = 14000 m
3 Base area of Tank Y and Tank X
= 14000 ÷ 7
= 2000 m
2 Length of Tank X and Tank Y
= 2000 ÷ 40
= 50 m
Length of Tank X
= 50 - 29
= 21 m
(b)
Volume of water in Tank Y
= 29 x 40 x 7
= 8120 m
3 Answer(s): (a) 21 m; (b) 8120 m
3