The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 40 m by 33 m by 26 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release
35 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 6 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
= 40 x 33 x 26 x
35 = 20592 m
3 Base area of Tank A and Tank Z
= 20592 ÷ 6
= 3432 m
2 Length of Tank Z and Tank A
= 3432 ÷ 33
= 104 m
Length of Tank Z
= 104 - 30
= 74 m
(b)
Volume of water in Tank A
= 30 x 33 x 6
= 5940 m
3 Answer(s): (a) 74 m; (b) 5940 m
3