The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 51 m by 31 m by 20 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release
23 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 8 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
= 51 x 31 x 20 x
23 = 21080 m
3 Base area of Tank X and Tank W
= 21080 ÷ 8
= 2635 m
2 Length of Tank W and Tank X
= 2635 ÷ 31
= 85 m
Length of Tank W
= 85 - 29
= 56 m
(b)
Volume of water in Tank X
= 29 x 31 x 8
= 7192 m
3 Answer(s): (a) 56 m; (b) 7192 m
3