The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 45 m by 33 m by 28 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 26 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 9 m.
- What is the length of Tank Z?
- How many m3 of water are there in Tank A?
(a)
Volume of water in the Tank B that flows into the Tank A
= 45 x 33 x 28 x
35 = 24948 m
3 Base area of Tank A and Tank Z
= 24948 ÷ 9
= 2772 m
2 Length of Tank Z and Tank A
= 2772 ÷ 33
= 84 m
Length of Tank Z
= 84 - 26
= 58 m
(b)
Volume of water in Tank A
= 26 x 33 x 9
= 7722 m
3 Answer(s): (a) 58 m; (b) 7722 m
3