The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Z, measuring 44 m by 33 m by 28 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
34 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 14 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
= 44 x 33 x 28 x
34 = 30492 m
3 Base area of Tank Y and Tank X
= 30492 ÷ 14
= 2178 m
2 Length of Tank X and Tank Y
= 2178 ÷ 33
= 66 m
Length of Tank X
= 66 - 29
= 37 m
(b)
Volume of water in Tank Y
= 29 x 33 x 14
= 13398 m
3 Answer(s): (a) 37 m; (b) 13398 m
3