The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 45 m by 32 m by 23 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release
13 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 5 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
= 45 x 32 x 23 x
13 = 11040 m
3 Base area of Tank H and Tank G
= 11040 ÷ 5
= 2208 m
2 Length of Tank G and Tank H
= 2208 ÷ 32
= 69 m
Length of Tank G
= 69 - 26
= 43 m
(b)
Volume of water in Tank H
= 26 x 32 x 5
= 4160 m
3 Answer(s): (a) 43 m; (b) 4160 m
3