The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 52 m by 40 m by 25 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 20 m. Slider 1 is lifted to release
35 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 13 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
= 52 x 40 x 25 x
35 = 31200 m
3 Base area of Tank G and Tank F
= 31200 ÷ 13
= 2400 m
2 Length of Tank F and Tank G
= 2400 ÷ 40
= 60 m
Length of Tank F
= 60 - 20
= 40 m
(b)
Volume of water in Tank G
= 20 x 40 x 13
= 10400 m
3 Answer(s): (a) 40 m; (b) 10400 m
3