The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 45 m by 32 m by 23 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 20 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 5 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
= 45 x 32 x 23 x
23 = 22080 m
3 Base area of Tank A and Tank Z
= 22080 ÷ 5
= 4416 m
2 Length of Tank Z and Tank A
= 4416 ÷ 32
= 138 m
Length of Tank Z
= 138 - 20
= 118 m
(b)
Volume of water in Tank A
= 20 x 32 x 5
= 3200 m
3 Answer(s): (a) 118 m; (b) 3200 m
3