The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 56 m by 40 m by 21 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 20 m. Slider 1 is lifted to release
23 of the water from Tank E to Tank D, after which the partition is slid down to separate Tank E and Tank D. Next, Slider 2 is removed and some water from Tank D flows into Tank C such that the height of the water level of Tank D and Tank C is 14 m.
- What is the length of Tank C?
- How many m3 of water are there in Tank D?
(a)
Volume of water in the Tank E that flows into the Tank D
= 56 x 40 x 21 x
23 = 31360 m
3 Base area of Tank D and Tank C
= 31360 ÷ 14
= 2240 m
2 Length of Tank C and Tank D
= 2240 ÷ 40
= 56 m
Length of Tank C
= 56 - 20
= 36 m
(b)
Volume of water in Tank D
= 20 x 40 x 14
= 11200 m
3 Answer(s): (a) 36 m; (b) 11200 m
3