The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank S, measuring 48 m by 33 m by 23 m, is filled with water to its brim. Tank R is an empty cuboidal container with a length of 29 m. Slider 1 is lifted to release
34 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 9 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
= 48 x 33 x 23 x
34 = 27324 m
3 Base area of Tank R and Tank Q
= 27324 ÷ 9
= 3036 m
2 Length of Tank Q and Tank R
= 3036 ÷ 33
= 92 m
Length of Tank Q
= 92 - 29
= 63 m
(b)
Volume of water in Tank R
= 29 x 33 x 9
= 8613 m
3 Answer(s): (a) 63 m; (b) 8613 m
3