The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 42 m by 33 m by 28 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 23 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 14 m.
- What is the length of Tank W?
- How many m3 of water are there in Tank X?
(a)
Volume of water in the Tank Y that flows into the Tank X
= 42 x 33 x 28 x
12 = 19404 m
3 Base area of Tank X and Tank W
= 19404 ÷ 14
= 1386 m
2 Length of Tank W and Tank X
= 1386 ÷ 33
= 42 m
Length of Tank W
= 42 - 23
= 19 m
(b)
Volume of water in Tank X
= 23 x 33 x 14
= 10626 m
3 Answer(s): (a) 19 m; (b) 10626 m
3