The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Y, measuring 44 m by 32 m by 24 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
13 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 8 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
= 44 x 32 x 24 x
13 = 11264 m
3 Base area of Tank X and Tank W
= 11264 ÷ 8
= 1408 m
2 Length of Tank W and Tank X
= 1408 ÷ 32
= 44 m
Length of Tank W
= 44 - 20
= 24 m
(b)
Volume of water in Tank X
= 20 x 32 x 8
= 5120 m
3 Answer(s): (a) 24 m; (b) 5120 m
3