The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 49 m by 37 m by 20 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
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 5 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
= 49 x 37 x 20 x
34 = 27195 m
3 Base area of Tank H and Tank G
= 27195 ÷ 5
= 5439 m
2 Length of Tank G and Tank H
= 5439 ÷ 37
= 147 m
Length of Tank G
= 147 - 26
= 121 m
(b)
Volume of water in Tank H
= 26 x 37 x 5
= 4810 m
3 Answer(s): (a) 121 m; (b) 4810 m
3