The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank K, measuring 52 m by 36 m by 28 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
12 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 13 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
= 52 x 36 x 28 x
12 = 26208 m
3 Base area of Tank J and Tank H
= 26208 ÷ 13
= 2016 m
2 Length of Tank H and Tank J
= 2016 ÷ 36
= 56 m
Length of Tank H
= 56 - 22
= 34 m
(b)
Volume of water in Tank J
= 22 x 36 x 13
= 10296 m
3 Answer(s): (a) 34 m; (b) 10296 m
3