The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 55 m by 40 m by 25 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
25 of the water from Tank B to Tank A, after which the partition is slid down to separate Tank B and Tank A. Next, Slider 2 is removed and some water from Tank A flows into Tank Z such that the height of the water level of Tank A and Tank Z is 11 m.
- What is the length of Tank Z?
- How many m3 of water are there in Tank A?
(a)
Volume of water in the Tank B that flows into the Tank A
= 55 x 40 x 25 x
25 = 22000 m
3 Base area of Tank A and Tank Z
= 22000 ÷ 11
= 2000 m
2 Length of Tank Z and Tank A
= 2000 ÷ 40
= 50 m
Length of Tank Z
= 50 - 25
= 25 m
(b)
Volume of water in Tank A
= 25 x 40 x 11
= 11000 m
3 Answer(s): (a) 25 m; (b) 11000 m
3