The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 45 m by 34 m by 28 m, is filled with water to its brim. Tank X is an empty cuboidal container with a length of 20 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 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
= 45 x 34 x 28 x
12 = 21420 m
3 Base area of Tank X and Tank W
= 21420 ÷ 5
= 4284 m
2 Length of Tank W and Tank X
= 4284 ÷ 34
= 126 m
Length of Tank W
= 126 - 20
= 106 m
(b)
Volume of water in Tank X
= 20 x 34 x 5
= 3400 m
3 Answer(s): (a) 106 m; (b) 3400 m
3