The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 40 m by 39 m by 27 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
15 of the water from Tank H to Tank G, after which the partition is slid down to separate Tank H and Tank G. Next, Slider 2 is removed and some water from Tank G flows into Tank F such that the height of the water level of Tank G and Tank F is 6 m.
- What is the length of Tank F?
- How many m3 of water are there in Tank G?
(a)
Volume of water in the Tank H that flows into the Tank G
= 40 x 39 x 27 x
15 = 8424 m
3 Base area of Tank G and Tank F
= 8424 ÷ 6
= 1404 m
2 Length of Tank F and Tank G
= 1404 ÷ 39
= 36 m
Length of Tank F
= 36 - 27
= 9 m
(b)
Volume of water in Tank G
= 27 x 39 x 6
= 6318 m
3 Answer(s): (a) 9 m; (b) 6318 m
3