The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 54 m by 33 m by 21 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
23 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 6 m.
- What is the length of Container Z?
- How many m3 of water are there in Container A?
(a)
Volume of water in the Tank B that flows into the Container A
= 54 x 33 x 21 x
23 = 24948 m
3 Base area of Tank A and Tank Z
= 24948 ÷ 6
= 4158 m
2 Length of Tank Z and Tank A
= 4158 ÷ 33
= 126 m
Length of Tank Z
= 126 - 24
= 102 m
(b)
Volume of water in Tank A
= 24 x 33 x 6
= 4752 m
3 Answer(s): (a) 102 m; (b) 4752 m
3