The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 42 m by 39 m by 24 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 28 m. Slider 1 is lifted to release
23 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 6 m.
- What is the length of Tank E?
- How many m3 of water are there in Tank F?
(a)
Volume of water in the Tank G that flows into the Tank F
= 42 x 39 x 24 x
23 = 26208 m
3 Base area of Tank F and Tank E
= 26208 ÷ 6
= 4368 m
2 Length of Tank E and Tank F
= 4368 ÷ 39
= 112 m
Length of Tank E
= 112 - 28
= 84 m
(b)
Volume of water in Tank F
= 28 x 39 x 6
= 6552 m
3 Answer(s): (a) 84 m; (b) 6552 m
3