The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 45 m by 32 m by 20 m, is filled with water to its brim. Tank J is an empty cuboidal container with a length of 25 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 9 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
= 45 x 32 x 20 x
25 = 11520 m
3 Base area of Tank J and Tank H
= 11520 ÷ 9
= 1280 m
2 Length of Tank H and Tank J
= 1280 ÷ 32
= 40 m
Length of Tank H
= 40 - 25
= 15 m
(b)
Volume of water in Tank J
= 25 x 32 x 9
= 7200 m
3 Answer(s): (a) 15 m; (b) 7200 m
3