The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 50 m by 37 m by 21 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
35 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 5 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
= 50 x 37 x 21 x
35 = 23310 m
3 Base area of Tank F and Tank E
= 23310 ÷ 5
= 4662 m
2 Length of Tank E and Tank F
= 4662 ÷ 37
= 126 m
Length of Tank E
= 126 - 30
= 96 m
(b)
Volume of water in Tank F
= 30 x 37 x 5
= 5550 m
3 Answer(s): (a) 96 m; (b) 5550 m
3