The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 60 m by 30 m by 29 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
23 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 10 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
= 60 x 30 x 29 x
23 = 34800 m
3 Base area of Tank H and Tank G
= 34800 ÷ 10
= 3480 m
2 Length of Tank G and Tank H
= 3480 ÷ 30
= 116 m
Length of Tank G
= 116 - 26
= 90 m
(b)
Volume of water in Tank H
= 26 x 30 x 10
= 7800 m
3 Answer(s): (a) 90 m; (b) 7800 m
3