The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 48 m by 39 m by 29 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 29 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 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
= 48 x 39 x 29 x
34 = 40716 m
3 Base area of Tank F and Tank E
= 40716 ÷ 9
= 4524 m
2 Length of Tank E and Tank F
= 4524 ÷ 39
= 116 m
Length of Tank E
= 116 - 29
= 87 m
(b)
Volume of water in Tank F
= 29 x 39 x 9
= 10179 m
3 Answer(s): (a) 87 m; (b) 10179 m
3