The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 52 m by 37 m by 24 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
14 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 6 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
= 52 x 37 x 24 x
14 = 11544 m
3 Base area of Tank C and Tank B
= 11544 ÷ 6
= 1924 m
2 Length of Tank B and Tank C
= 1924 ÷ 37
= 52 m
Length of Tank B
= 52 - 30
= 22 m
(b)
Volume of water in Tank C
= 30 x 37 x 6
= 6660 m
3 Answer(s): (a) 22 m; (b) 6660 m
3