The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 48 m by 32 m by 25 m, is filled with water to its brim. Tank J is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
14 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 5 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
= 48 x 32 x 25 x
14 = 9600 m
3 Base area of Tank J and Tank H
= 9600 ÷ 5
= 1920 m
2 Length of Tank H and Tank J
= 1920 ÷ 32
= 60 m
Length of Tank H
= 60 - 21
= 39 m
(b)
Volume of water in Tank J
= 21 x 32 x 5
= 3360 m
3 Answer(s): (a) 39 m; (b) 3360 m
3