The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank V, measuring 45 m by 33 m by 23 m, is filled with water to its brim. Tank U is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release
23 of the water from Tank V to Tank U, after which the partition is slid down to separate Tank V and Tank U. Next, Slider 2 is removed and some water from Tank U flows into Tank T such that the height of the water level of Tank U and Tank T is 10 m.
- What is the length of Container T?
- How many m3 of water are there in Container U?
(a)
Volume of water in the Tank V that flows into the Container U
= 45 x 33 x 23 x
23 = 22770 m
3 Base area of Tank U and Tank T
= 22770 ÷ 10
= 2277 m
2 Length of Tank T and Tank U
= 2277 ÷ 33
= 69 m
Length of Tank T
= 69 - 26
= 43 m
(b)
Volume of water in Tank U
= 26 x 33 x 10
= 8580 m
3 Answer(s): (a) 43 m; (b) 8580 m
3