The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 40 m by 32 m by 24 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
34 of the water from Tank G to Tank F, after which the partition is slid down to separate Tank G and Tank F. Next, Slider 2 is removed and some water from Tank F flows into Tank E such that the height of the water level of Tank F and Tank E is 9 m.
- What is the length of Container E?
- How many m3 of water are there in Container F?
(a)
Volume of water in the Tank G that flows into the Container F
= 40 x 32 x 24 x
34 = 23040 m
3 Base area of Tank F and Tank E
= 23040 ÷ 9
= 2560 m
2 Length of Tank E and Tank F
= 2560 ÷ 32
= 80 m
Length of Tank E
= 80 - 22
= 58 m
(b)
Volume of water in Tank F
= 22 x 32 x 9
= 6336 m
3 Answer(s): (a) 58 m; (b) 6336 m
3