The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 60 m by 35 m by 26 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
34 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 6 m.
- What is the length of Container Y?
- How many m3 of water are there in Container Z?
(a)
Volume of water in the Tank A that flows into the Container Z
= 60 x 35 x 26 x
34 = 40950 m
3 Base area of Tank Z and Tank Y
= 40950 ÷ 6
= 6825 m
2 Length of Tank Y and Tank Z
= 6825 ÷ 35
= 195 m
Length of Tank Y
= 195 - 27
= 168 m
(b)
Volume of water in Tank Z
= 27 x 35 x 6
= 5670 m
3 Answer(s): (a) 168 m; (b) 5670 m
3