The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank F, measuring 56 m by 35 m by 24 m, is filled with water to its brim. Tank E is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release
13 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 7 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
= 56 x 35 x 24 x
13 = 15680 m
3 Base area of Tank E and Tank D
= 15680 ÷ 7
= 2240 m
2 Length of Tank D and Tank E
= 2240 ÷ 35
= 64 m
Length of Tank D
= 64 - 23
= 41 m
(b)
Volume of water in Tank E
= 23 x 35 x 7
= 5635 m
3 Answer(s): (a) 41 m; (b) 5635 m
3