The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank A, measuring 44 m by 32 m by 26 m, is filled with water to its brim. Tank Z is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
12 of the water from Tank A to Tank Z, after which the partition is slid down to separate Tank A and Tank Z. Next, Slider 2 is removed and some water from Tank Z flows into Tank Y such that the height of the water level of Tank Z and Tank Y is 11 m.
- What is the length of Container Y?
- How many m3 of water are there in Container Z?
(a)
Volume of water in the Tank A that flows into the Container Z
= 44 x 32 x 26 x
12 = 18304 m
3 Base area of Tank Z and Tank Y
= 18304 ÷ 11
= 1664 m
2 Length of Tank Y and Tank Z
= 1664 ÷ 32
= 52 m
Length of Tank Y
= 52 - 24
= 28 m
(b)
Volume of water in Tank Z
= 24 x 32 x 11
= 8448 m
3 Answer(s): (a) 28 m; (b) 8448 m
3