The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 54 m by 38 m by 30 m, is filled with water to its brim. Tank C is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
23 of the water from Tank D to Tank C, after which the partition is slid down to separate Tank D and Tank C. Next, Slider 2 is removed and some water from Tank C flows into Tank B such that the height of the water level of Tank C and Tank B is 12 m.
- What is the length of Container B?
- How many m3 of water are there in Container C?
(a)
Volume of water in the Tank D that flows into the Container C
= 54 x 38 x 30 x
23 = 41040 m
3 Base area of Tank C and Tank B
= 41040 ÷ 12
= 3420 m
2 Length of Tank B and Tank C
= 3420 ÷ 38
= 90 m
Length of Tank B
= 90 - 30
= 60 m
(b)
Volume of water in Tank C
= 30 x 38 x 12
= 13680 m
3 Answer(s): (a) 60 m; (b) 13680 m
3