The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 49 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 20 m. Slider 1 is lifted to release
12 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 7 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
= 49 x 33 x 24 x
12 = 19404 m
3 Base area of Tank H and Tank G
= 19404 ÷ 7
= 2772 m
2 Length of Tank G and Tank H
= 2772 ÷ 33
= 84 m
Length of Tank G
= 84 - 20
= 64 m
(b)
Volume of water in Tank H
= 20 x 33 x 7
= 4620 m
3 Answer(s): (a) 64 m; (b) 4620 m
3