The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 40 m by 36 m by 27 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 24 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 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
= 40 x 36 x 27 x
34 = 29160 m
3 Base area of Tank Z and Tank Y
= 29160 ÷ 6
= 4860 m
2 Length of Tank Y and Tank Z
= 4860 ÷ 36
= 135 m
Length of Tank Y
= 135 - 24
= 111 m
(b)
Volume of water in Tank Z
= 24 x 36 x 6
= 5184 m
3 Answer(s): (a) 111 m; (b) 5184 m
3