The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 51 m by 32 m by 20 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
25 of the water from Tank E to Tank D, after which the partition is slid down to separate Tank E and Tank D. Next, Slider 2 is removed and some water from Tank D flows into Tank C such that the height of the water level of Tank D and Tank C is 12 m.
- What is the length of Tank C?
- How many m3 of water are there in Tank D?
(a)
Volume of water in the Tank E that flows into the Tank D
= 51 x 32 x 20 x
25 = 13056 m
3 Base area of Tank D and Tank C
= 13056 ÷ 12
= 1088 m
2 Length of Tank C and Tank D
= 1088 ÷ 32
= 34 m
Length of Tank C
= 34 - 30
= 4 m
(b)
Volume of water in Tank D
= 30 x 32 x 12
= 11520 m
3 Answer(s): (a) 4 m; (b) 11520 m
3