The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 48 m by 35 m by 26 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 23 m. Slider 1 is lifted to release
34 of the water from Tank L to Tank K, after which the partition is slid down to separate Tank L and Tank K. Next, Slider 2 is removed and some water from Tank K flows into Tank J such that the height of the water level of Tank K and Tank J is 9 m.
- What is the length of Container J?
- How many m3 of water are there in Container K?
(a)
Volume of water in the Tank L that flows into the Container K
= 48 x 35 x 26 x
34 = 32760 m
3 Base area of Tank K and Tank J
= 32760 ÷ 9
= 3640 m
2 Length of Tank J and Tank K
= 3640 ÷ 35
= 104 m
Length of Tank J
= 104 - 23
= 81 m
(b)
Volume of water in Tank K
= 23 x 35 x 9
= 7245 m
3 Answer(s): (a) 81 m; (b) 7245 m
3