The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 60 m by 30 m by 20 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
14 of the water from Tank A to Tank Z, after which the partition is slid down to separate Tank A and Tank Z. Next, Slider 2 is removed and some water from Tank Z flows into Tank Y such that the height of the water level of Tank Z and Tank Y is 12 m.
- What is the length of Tank Y?
- How many m3 of water are there in Tank Z?
(a)
Volume of water in the Tank A that flows into the Tank Z
= 60 x 30 x 20 x
14 = 9000 m
3 Base area of Tank Z and Tank Y
= 9000 ÷ 12
= 750 m
2 Length of Tank Y and Tank Z
= 750 ÷ 30
= 25 m
Length of Tank Y
= 25 - 21
= 4 m
(b)
Volume of water in Tank Z
= 21 x 30 x 12
= 7560 m
3 Answer(s): (a) 4 m; (b) 7560 m
3