The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank P, measuring 50 m by 32 m by 24 m, is filled with water to its brim. Tank N is an empty cuboidal container with a length of 28 m. Slider 1 is lifted to release
13 of the water from Tank P to Tank N, after which the partition is slid down to separate Tank P and Tank N. Next, Slider 2 is removed and some water from Tank N flows into Tank M such that the height of the water level of Tank N and Tank M is 10 m.
- What is the length of Tank M?
- How many m3 of water are there in Tank N?
(a)
Volume of water in the Tank P that flows into the Tank N
= 50 x 32 x 24 x
13 = 12800 m
3 Base area of Tank N and Tank M
= 12800 ÷ 10
= 1280 m
2 Length of Tank M and Tank N
= 1280 ÷ 32
= 40 m
Length of Tank M
= 40 - 28
= 12 m
(b)
Volume of water in Tank N
= 28 x 32 x 10
= 8960 m
3 Answer(s): (a) 12 m; (b) 8960 m
3