The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 40 m by 33 m by 22 m, is filled with water to its brim. Tank C is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release
35 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 11 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
= 40 x 33 x 22 x
35 = 17424 m
3 Base area of Tank C and Tank B
= 17424 ÷ 11
= 1584 m
2 Length of Tank B and Tank C
= 1584 ÷ 33
= 48 m
Length of Tank B
= 48 - 23
= 25 m
(b)
Volume of water in Tank C
= 23 x 33 x 11
= 8349 m
3 Answer(s): (a) 25 m; (b) 8349 m
3