The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank S, measuring 56 m by 34 m by 27 m, is filled with water to its brim. Tank R is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
13 of the water from Tank S to Tank R, after which the partition is slid down to separate Tank S and Tank R. Next, Slider 2 is removed and some water from Tank R flows into Tank Q such that the height of the water level of Tank R and Tank Q is 6 m.
- What is the length of Tank Q?
- How many m3 of water are there in Tank R?
(a)
Volume of water in the Tank S that flows into the Tank R
= 56 x 34 x 27 x
13 = 17136 m
3 Base area of Tank R and Tank Q
= 17136 ÷ 6
= 2856 m
2 Length of Tank Q and Tank R
= 2856 ÷ 34
= 84 m
Length of Tank Q
= 84 - 27
= 57 m
(b)
Volume of water in Tank R
= 27 x 34 x 6
= 5508 m
3 Answer(s): (a) 57 m; (b) 5508 m
3