The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 50 m by 37 m by 28 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 26 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 7 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
= 50 x 37 x 28 x
34 = 38850 m
3 Base area of Tank Z and Tank Y
= 38850 ÷ 7
= 5550 m
2 Length of Tank Y and Tank Z
= 5550 ÷ 37
= 150 m
Length of Tank Y
= 150 - 26
= 124 m
(b)
Volume of water in Tank Z
= 26 x 37 x 7
= 6734 m
3 Answer(s): (a) 124 m; (b) 6734 m
3