The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 45 m by 37 m by 28 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
12 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 10 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
= 45 x 37 x 28 x
12 = 23310 m
3 Base area of Tank D and Tank C
= 23310 ÷ 10
= 2331 m
2 Length of Tank C and Tank D
= 2331 ÷ 37
= 63 m
Length of Tank C
= 63 - 24
= 39 m
(b)
Volume of water in Tank D
= 24 x 37 x 10
= 8880 m
3 Answer(s): (a) 39 m; (b) 8880 m
3