The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 48 m by 31 m by 29 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
12 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 12 m.
- What is the length of Container C?
- How many m3 of water are there in Container D?
(a)
Volume of water in the Tank E that flows into the Container D
= 48 x 31 x 29 x
12 = 21576 m
3 Base area of Tank D and Tank C
= 21576 ÷ 12
= 1798 m
2 Length of Tank C and Tank D
= 1798 ÷ 31
= 58 m
Length of Tank C
= 58 - 22
= 36 m
(b)
Volume of water in Tank D
= 22 x 31 x 12
= 8184 m
3 Answer(s): (a) 36 m; (b) 8184 m
3