The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank H, measuring 56 m by 32 m by 22 m, is filled with water to its brim. Tank G is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
12 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 8 m.
- What is the length of Container F?
- How many m3 of water are there in Container G?
(a)
Volume of water in the Tank H that flows into the Container G
= 56 x 32 x 22 x
12 = 19712 m
3 Base area of Tank G and Tank F
= 19712 ÷ 8
= 2464 m
2 Length of Tank F and Tank G
= 2464 ÷ 32
= 77 m
Length of Tank F
= 77 - 21
= 56 m
(b)
Volume of water in Tank G
= 21 x 32 x 8
= 5376 m
3 Answer(s): (a) 56 m; (b) 5376 m
3