The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank F, measuring 50 m by 39 m by 24 m, is filled with water to its brim. Tank E is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
25 of the water from Tank F to Tank E, after which the partition is slid down to separate Tank F and Tank E. Next, Slider 2 is removed and some water from Tank E flows into Tank D such that the height of the water level of Tank E and Tank D is 12 m.
- What is the length of Tank D?
- How many m3 of water are there in Tank E?
(a)
Volume of water in the Tank F that flows into the Tank E
= 50 x 39 x 24 x
25 = 18720 m
3 Base area of Tank E and Tank D
= 18720 ÷ 12
= 1560 m
2 Length of Tank D and Tank E
= 1560 ÷ 39
= 40 m
Length of Tank D
= 40 - 22
= 18 m
(b)
Volume of water in Tank E
= 22 x 39 x 12
= 10296 m
3 Answer(s): (a) 18 m; (b) 10296 m
3