The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank R, measuring 53 m by 38 m by 28 m, is filled with water to its brim. Tank Q is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
14 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 7 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
= 53 x 38 x 28 x
14 = 14098 m
3 Base area of Tank Q and Tank P
= 14098 ÷ 7
= 2014 m
2 Length of Tank P and Tank Q
= 2014 ÷ 38
= 53 m
Length of Tank P
= 53 - 30
= 23 m
(b)
Volume of water in Tank Q
= 30 x 38 x 7
= 7980 m
3 Answer(s): (a) 23 m; (b) 7980 m
3