The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 56 m by 39 m by 27 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 21 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 14 m.
- What is the length of Tank G?
- How many m3 of water are there in Tank H?
(a)
Volume of water in the Tank J that flows into the Tank H
= 56 x 39 x 27 x
14 = 14742 m
3 Base area of Tank H and Tank G
= 14742 ÷ 14
= 1053 m
2 Length of Tank G and Tank H
= 1053 ÷ 39
= 27 m
Length of Tank G
= 27 - 21
= 6 m
(b)
Volume of water in Tank H
= 21 x 39 x 14
= 11466 m
3 Answer(s): (a) 6 m; (b) 11466 m
3