The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 52 m by 31 m by 30 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
34 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 9 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
= 52 x 31 x 30 x
34 = 36270 m
3 Base area of Tank H and Tank G
= 36270 ÷ 9
= 4030 m
2 Length of Tank G and Tank H
= 4030 ÷ 31
= 130 m
Length of Tank G
= 130 - 27
= 103 m
(b)
Volume of water in Tank H
= 27 x 31 x 9
= 7533 m
3 Answer(s): (a) 103 m; (b) 7533 m
3