The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank J, measuring 55 m by 32 m by 21 m, is filled with water to its brim. Tank H is an empty cuboidal container with a length of 20 m. Slider 1 is lifted to release
13 of the water from Tank J to Tank H, after which the partition is slid down to separate Tank J and Tank H. Next, Slider 2 is removed and some water from Tank H flows into Tank G such that the height of the water level of Tank H and Tank G is 5 m.
- What is the length of Tank G?
- How many m3 of water are there in Tank H?
(a)
Volume of water in the Tank J that flows into the Tank H
= 55 x 32 x 21 x
13 = 12320 m
3 Base area of Tank H and Tank G
= 12320 ÷ 5
= 2464 m
2 Length of Tank G and Tank H
= 2464 ÷ 32
= 77 m
Length of Tank G
= 77 - 20
= 57 m
(b)
Volume of water in Tank H
= 20 x 32 x 5
= 3200 m
3 Answer(s): (a) 57 m; (b) 3200 m
3