The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 55 m by 38 m by 26 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 28 m. Slider 1 is lifted to release
12 of the water from Tank Y to Tank X, after which the partition is slid down to separate Tank Y and Tank X. Next, Slider 2 is removed and some water from Tank X flows into Tank W such that the height of the water level of Tank X and Tank W is 5 m.
- What is the length of Container W?
- How many m3 of water are there in Container X?
(a)
Volume of water in the Tank Y that flows into the Container X
= 55 x 38 x 26 x
12 = 27170 m
3 Base area of Tank X and Tank W
= 27170 ÷ 5
= 5434 m
2 Length of Tank W and Tank X
= 5434 ÷ 38
= 143 m
Length of Tank W
= 143 - 28
= 115 m
(b)
Volume of water in Tank X
= 28 x 38 x 5
= 5320 m
3 Answer(s): (a) 115 m; (b) 5320 m
3