The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank F, measuring 45 m by 35 m by 28 m, is filled with water to its brim. Tank E is an empty cuboidal container with a length of 26 m. Slider 1 is lifted to release
23 of the water from Tank F to Tank E, after which the partition is slid down to separate Tank F and Tank E. Next, Slider 2 is removed and some water from Tank E flows into Tank D such that the height of the water level of Tank E and Tank D is 15 m.
- What is the length of Tank D?
- How many m3 of water are there in Tank E?
(a)
Volume of water in the Tank F that flows into the Tank E
= 45 x 35 x 28 x
23 = 29400 m
3 Base area of Tank E and Tank D
= 29400 ÷ 15
= 1960 m
2 Length of Tank D and Tank E
= 1960 ÷ 35
= 56 m
Length of Tank D
= 56 - 26
= 30 m
(b)
Volume of water in Tank E
= 26 x 35 x 15
= 13650 m
3 Answer(s): (a) 30 m; (b) 13650 m
3