The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 55 m by 40 m by 20 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
35 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 5 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 20 x
35 = 26400 m
3 Base area of Tank A and Tank Z
= 26400 ÷ 5
= 5280 m
2 Length of Tank Z and Tank A
= 5280 ÷ 40
= 132 m
Length of Tank Z
= 132 - 30
= 102 m
(b)
Volume of water in Tank A
= 30 x 40 x 5
= 6000 m
3 Answer(s): (a) 102 m; (b) 6000 m
3