The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank W, measuring 42 m by 34 m by 30 m, is filled with water to its brim. Tank V is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release
35 of the water from Tank W to Tank V, after which the partition is slid down to separate Tank W and Tank V. Next, Slider 2 is removed and some water from Tank V flows into Tank U such that the height of the water level of Tank V and Tank U is 14 m.
- What is the length of Tank U?
- How many m3 of water are there in Tank V?
(a)
Volume of water in the Tank W that flows into the Tank V
= 42 x 34 x 30 x
35 = 25704 m
3 Base area of Tank V and Tank U
= 25704 ÷ 14
= 1836 m
2 Length of Tank U and Tank V
= 1836 ÷ 34
= 54 m
Length of Tank U
= 54 - 26
= 28 m
(b)
Volume of water in Tank V
= 26 x 34 x 14
= 12376 m
3 Answer(s): (a) 28 m; (b) 12376 m
3