The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank Q, measuring 49 m by 35 m by 27 m, is filled with water to its brim. Tank P is an empty cuboidal container with a length of 21 m. Slider 1 is lifted to release
23 of the water from Tank Q to Tank P, after which the partition is slid down to separate Tank Q and Tank P. Next, Slider 2 is removed and some water from Tank P flows into Tank N such that the height of the water level of Tank P and Tank N is 14 m.
- What is the length of Tank N?
- How many m3 of water are there in Tank P?
(a)
Volume of water in the Tank Q that flows into the Tank P
= 49 x 35 x 27 x
23 = 30870 m
3 Base area of Tank P and Tank N
= 30870 ÷ 14
= 2205 m
2 Length of Tank N and Tank P
= 2205 ÷ 35
= 63 m
Length of Tank N
= 63 - 21
= 42 m
(b)
Volume of water in Tank P
= 21 x 35 x 14
= 10290 m
3 Answer(s): (a) 42 m; (b) 10290 m
3