The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 47 m by 37 m by 30 m, is filled with water to its brim. Tank J is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
25 of the water from Tank K to Tank J, after which the partition is slid down to separate Tank K and Tank J. Next, Slider 2 is removed and some water from Tank J flows into Tank H such that the height of the water level of Tank J and Tank H is 6 m.
- What is the length of Tank H?
- How many m3 of water are there in Tank J?
(a)
Volume of water in the Tank K that flows into the Tank J
= 47 x 37 x 30 x
25 = 20868 m
3 Base area of Tank J and Tank H
= 20868 ÷ 6
= 3478 m
2 Length of Tank H and Tank J
= 3478 ÷ 37
= 94 m
Length of Tank H
= 94 - 22
= 72 m
(b)
Volume of water in Tank J
= 22 x 37 x 6
= 4884 m
3 Answer(s): (a) 72 m; (b) 4884 m
3