The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 60 m by 31 m by 26 m, is filled with water to its brim. Tank C is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
12 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 13 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
= 60 x 31 x 26 x
12 = 24180 m
3 Base area of Tank C and Tank B
= 24180 ÷ 13
= 1860 m
2 Length of Tank B and Tank C
= 1860 ÷ 31
= 60 m
Length of Tank B
= 60 - 21
= 39 m
(b)
Volume of water in Tank C
= 21 x 31 x 13
= 8463 m
3 Answer(s): (a) 39 m; (b) 8463 m
3