The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank L, measuring 58 m by 35 m by 30 m, is filled with water to its brim. Tank K is an empty cuboidal container with a length of 24 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 15 m.
- What is the length of Tank J?
- How many m3 of water are there in Tank K?
(a)
Volume of water in the Tank L that flows into the Tank K
= 58 x 35 x 30 x
34 = 45675 m
3 Base area of Tank K and Tank J
= 45675 ÷ 15
= 3045 m
2 Length of Tank J and Tank K
= 3045 ÷ 35
= 87 m
Length of Tank J
= 87 - 24
= 63 m
(b)
Volume of water in Tank K
= 24 x 35 x 15
= 12600 m
3 Answer(s): (a) 63 m; (b) 12600 m
3