The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank R, measuring 40 m by 33 m by 22 m, is filled with water to its brim. Tank Q is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
12 of the water from Tank R to Tank Q, after which the partition is slid down to separate Tank R and Tank Q. Next, Slider 2 is removed and some water from Tank Q flows into Tank P such that the height of the water level of Tank Q and Tank P is 5 m.
- What is the length of Tank P?
- How many m3 of water are there in Tank Q?
(a)
Volume of water in the Tank R that flows into the Tank Q
= 40 x 33 x 22 x
12 = 14520 m
3 Base area of Tank Q and Tank P
= 14520 ÷ 5
= 2904 m
2 Length of Tank P and Tank Q
= 2904 ÷ 33
= 88 m
Length of Tank P
= 88 - 25
= 63 m
(b)
Volume of water in Tank Q
= 25 x 33 x 5
= 4125 m
3 Answer(s): (a) 63 m; (b) 4125 m
3