The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 44 m by 31 m by 30 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
23 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 5 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
= 44 x 31 x 30 x
23 = 27280 m
3 Base area of Tank Z and Tank Y
= 27280 ÷ 5
= 5456 m
2 Length of Tank Y and Tank Z
= 5456 ÷ 31
= 176 m
Length of Tank Y
= 176 - 25
= 151 m
(b)
Volume of water in Tank Z
= 25 x 31 x 5
= 3875 m
3 Answer(s): (a) 151 m; (b) 3875 m
3