The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 53 m by 32 m by 30 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 24 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 5 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
= 53 x 32 x 30 x
23 = 33920 m
3 Base area of Tank D and Tank C
= 33920 ÷ 5
= 6784 m
2 Length of Tank C and Tank D
= 6784 ÷ 32
= 212 m
Length of Tank C
= 212 - 24
= 188 m
(b)
Volume of water in Tank D
= 24 x 32 x 5
= 3840 m
3 Answer(s): (a) 188 m; (b) 3840 m
3