The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank D, measuring 45 m by 33 m by 28 m, is filled with water to its brim. Tank C is an empty cuboidal container with a length of 28 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 15 m.
- What is the length of Tank B?
- How many m3 of water are there in Tank C?
(a)
Volume of water in the Tank D that flows into the Tank C
= 45 x 33 x 28 x
23 = 27720 m
3 Base area of Tank C and Tank B
= 27720 ÷ 15
= 1848 m
2 Length of Tank B and Tank C
= 1848 ÷ 33
= 56 m
Length of Tank B
= 56 - 28
= 28 m
(b)
Volume of water in Tank C
= 28 x 33 x 15
= 13860 m
3 Answer(s): (a) 28 m; (b) 13860 m
3