The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 60 m by 32 m by 24 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
13 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 12 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
= 60 x 32 x 24 x
13 = 15360 m
3 Base area of Tank G and Tank F
= 15360 ÷ 12
= 1280 m
2 Length of Tank F and Tank G
= 1280 ÷ 32
= 40 m
Length of Tank F
= 40 - 25
= 15 m
(b)
Volume of water in Tank G
= 25 x 32 x 12
= 9600 m
3 Answer(s): (a) 15 m; (b) 9600 m
3