The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 55 m by 36 m by 30 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
35 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 11 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
= 55 x 36 x 30 x
35 = 35640 m
3 Base area of Tank X and Tank W
= 35640 ÷ 11
= 3240 m
2 Length of Tank W and Tank X
= 3240 ÷ 36
= 90 m
Length of Tank W
= 90 - 22
= 68 m
(b)
Volume of water in Tank X
= 22 x 36 x 11
= 8712 m
3 Answer(s): (a) 68 m; (b) 8712 m
3