The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 49 m by 35 m by 24 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
34 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
= 49 x 35 x 24 x
34 = 30870 m
3 Base area of Tank G and Tank F
= 30870 ÷ 6
= 5145 m
2 Length of Tank F and Tank G
= 5145 ÷ 35
= 147 m
Length of Tank F
= 147 - 24
= 123 m
(b)
Volume of water in Tank G
= 24 x 35 x 6
= 5040 m
3 Answer(s): (a) 123 m; (b) 5040 m
3