The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank S, measuring 44 m by 34 m by 24 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
23 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 8 m.
- What is the length of Container Q?
- How many m3 of water are there in Container R?
(a)
Volume of water in the Tank S that flows into the Container R
= 44 x 34 x 24 x
23 = 23936 m
3 Base area of Tank R and Tank Q
= 23936 ÷ 8
= 2992 m
2 Length of Tank Q and Tank R
= 2992 ÷ 34
= 88 m
Length of Tank Q
= 88 - 27
= 61 m
(b)
Volume of water in Tank R
= 27 x 34 x 8
= 7344 m
3 Answer(s): (a) 61 m; (b) 7344 m
3