The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 56 m by 31 m by 25 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
34 of the water from Tank B to Tank A, after which the partition is slid down to separate Tank B and Tank A. Next, Slider 2 is removed and some water from Tank A flows into Tank Z such that the height of the water level of Tank A and Tank Z is 10 m.
- What is the length of Container Z?
- How many m3 of water are there in Container A?
(a)
Volume of water in the Tank B that flows into the Container A
= 56 x 31 x 25 x
34 = 32550 m
3 Base area of Tank A and Tank Z
= 32550 ÷ 10
= 3255 m
2 Length of Tank Z and Tank A
= 3255 ÷ 31
= 105 m
Length of Tank Z
= 105 - 24
= 81 m
(b)
Volume of water in Tank A
= 24 x 31 x 10
= 7440 m
3 Answer(s): (a) 81 m; (b) 7440 m
3