The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 56 m by 33 m by 24 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release
14 of the water from Tank J to Tank H, after which the partition is slid down to separate Tank J and Tank H. Next, Slider 2 is removed and some water from Tank H flows into Tank G such that the height of the water level of Tank H and Tank G is 6 m.
- What is the length of Container G?
- How many m3 of water are there in Container H?
(a)
Volume of water in the Tank J that flows into the Container H
= 56 x 33 x 24 x
14 = 11088 m
3 Base area of Tank H and Tank G
= 11088 ÷ 6
= 1848 m
2 Length of Tank G and Tank H
= 1848 ÷ 33
= 56 m
Length of Tank G
= 56 - 23
= 33 m
(b)
Volume of water in Tank H
= 23 x 33 x 6
= 4554 m
3 Answer(s): (a) 33 m; (b) 4554 m
3