The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 44 m by 34 m by 28 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 25 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 11 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
= 44 x 34 x 28 x
34 = 31416 m
3 Base area of Tank F and Tank E
= 31416 ÷ 11
= 2856 m
2 Length of Tank E and Tank F
= 2856 ÷ 34
= 84 m
Length of Tank E
= 84 - 25
= 59 m
(b)
Volume of water in Tank F
= 25 x 34 x 11
= 9350 m
3 Answer(s): (a) 59 m; (b) 9350 m
3