The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 40 m by 36 m by 28 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
25 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 8 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 36 x 28 x
25 = 16128 m
3 Base area of Tank F and Tank E
= 16128 ÷ 8
= 2016 m
2 Length of Tank E and Tank F
= 2016 ÷ 36
= 56 m
Length of Tank E
= 56 - 21
= 35 m
(b)
Volume of water in Tank F
= 21 x 36 x 8
= 6048 m
3 Answer(s): (a) 35 m; (b) 6048 m
3