The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank G, measuring 45 m by 32 m by 21 m, is filled with water to its brim. Tank F is an empty cuboidal container with a length of 24 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 10 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
= 45 x 32 x 21 x
23 = 20160 m
3 Base area of Tank F and Tank E
= 20160 ÷ 10
= 2016 m
2 Length of Tank E and Tank F
= 2016 ÷ 32
= 63 m
Length of Tank E
= 63 - 24
= 39 m
(b)
Volume of water in Tank F
= 24 x 32 x 10
= 7680 m
3 Answer(s): (a) 39 m; (b) 7680 m
3