The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank V, measuring 44 m by 37 m by 26 m, is filled with water to its brim. Tank U is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release
12 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 13 m.
- What is the length of Tank T?
- How many m3 of water are there in Tank U?
(a)
Volume of water in the Tank V that flows into the Tank U
= 44 x 37 x 26 x
12 = 21164 m
3 Base area of Tank U and Tank T
= 21164 ÷ 13
= 1628 m
2 Length of Tank T and Tank U
= 1628 ÷ 37
= 44 m
Length of Tank T
= 44 - 29
= 15 m
(b)
Volume of water in Tank U
= 29 x 37 x 13
= 13949 m
3 Answer(s): (a) 15 m; (b) 13949 m
3