The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank X, measuring 43 m by 32 m by 30 m, is filled with water to its brim. Tank W is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
12 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 5 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
= 43 x 32 x 30 x
12 = 20640 m
3 Base area of Tank W and Tank V
= 20640 ÷ 5
= 4128 m
2 Length of Tank V and Tank W
= 4128 ÷ 32
= 129 m
Length of Tank V
= 129 - 27
= 102 m
(b)
Volume of water in Tank W
= 27 x 32 x 5
= 4320 m
3 Answer(s): (a) 102 m; (b) 4320 m
3