The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 46 m by 40 m by 20 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
34 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 6 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
= 46 x 40 x 20 x
34 = 27600 m
3 Base area of Tank X and Tank W
= 27600 ÷ 6
= 4600 m
2 Length of Tank W and Tank X
= 4600 ÷ 40
= 115 m
Length of Tank W
= 115 - 20
= 95 m
(b)
Volume of water in Tank X
= 20 x 40 x 6
= 4800 m
3 Answer(s): (a) 95 m; (b) 4800 m
3