The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank F, measuring 54 m by 35 m by 30 m, is filled with water to its brim. Tank E is an empty cuboidal container with a length of 25 m. Slider 1 is lifted to release
12 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 9 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
= 54 x 35 x 30 x
12 = 28350 m
3 Base area of Tank E and Tank D
= 28350 ÷ 9
= 3150 m
2 Length of Tank D and Tank E
= 3150 ÷ 35
= 90 m
Length of Tank D
= 90 - 25
= 65 m
(b)
Volume of water in Tank E
= 25 x 35 x 9
= 7875 m
3 Answer(s): (a) 65 m; (b) 7875 m
3