The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank X, measuring 54 m by 35 m by 26 m, is filled with water to its brim. Tank W is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
14 of the water from Tank X to Tank W, after which the partition is slid down to separate Tank X and Tank W. Next, Slider 2 is removed and some water from Tank W flows into Tank V such that the height of the water level of Tank W and Tank V is 13 m.
- What is the length of Tank V?
- How many m3 of water are there in Tank W?
(a)
Volume of water in the Tank X that flows into the Tank W
= 54 x 35 x 26 x
14 = 12285 m
3 Base area of Tank W and Tank V
= 12285 ÷ 13
= 945 m
2 Length of Tank V and Tank W
= 945 ÷ 35
= 27 m
Length of Tank V
= 27 - 24
= 3 m
(b)
Volume of water in Tank W
= 24 x 35 x 13
= 10920 m
3 Answer(s): (a) 3 m; (b) 10920 m
3