The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 52 m by 40 m by 29 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 25 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 13 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
= 52 x 40 x 29 x
34 = 45240 m
3 Base area of Tank H and Tank G
= 45240 ÷ 13
= 3480 m
2 Length of Tank G and Tank H
= 3480 ÷ 40
= 87 m
Length of Tank G
= 87 - 25
= 62 m
(b)
Volume of water in Tank H
= 25 x 40 x 13
= 13000 m
3 Answer(s): (a) 62 m; (b) 13000 m
3