The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 57 m by 39 m by 26 m, is filled with water to its brim. Tank A is an empty cuboidal container with a length of 27 m. Slider 1 is lifted to release
23 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 13 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
= 57 x 39 x 26 x
23 = 38532 m
3 Base area of Tank A and Tank Z
= 38532 ÷ 13
= 2964 m
2 Length of Tank Z and Tank A
= 2964 ÷ 39
= 76 m
Length of Tank Z
= 76 - 27
= 49 m
(b)
Volume of water in Tank A
= 27 x 39 x 13
= 13689 m
3 Answer(s): (a) 49 m; (b) 13689 m
3