The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank B, measuring 40 m by 34 m by 30 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
12 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 8 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 34 x 30 x
12 = 20400 m
3 Base area of Tank A and Tank Z
= 20400 ÷ 8
= 2550 m
2 Length of Tank Z and Tank A
= 2550 ÷ 34
= 75 m
Length of Tank Z
= 75 - 26
= 49 m
(b)
Volume of water in Tank A
= 26 x 34 x 8
= 7072 m
3 Answer(s): (a) 49 m; (b) 7072 m
3