The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank M, measuring 51 m by 36 m by 20 m, is filled with water to its brim. Tank L is an empty cuboidal container with a length of 24 m. Slider 1 is lifted to release
35 of the water from Tank M to Tank L, after which the partition is slid down to separate Tank M and Tank L. Next, Slider 2 is removed and some water from Tank L flows into Tank K such that the height of the water level of Tank L and Tank K is 9 m.
- What is the length of Tank K?
- How many m3 of water are there in Tank L?
(a)
Volume of water in the Tank M that flows into the Tank L
= 51 x 36 x 20 x
35 = 22032 m
3 Base area of Tank L and Tank K
= 22032 ÷ 9
= 2448 m
2 Length of Tank K and Tank L
= 2448 ÷ 36
= 68 m
Length of Tank K
= 68 - 24
= 44 m
(b)
Volume of water in Tank L
= 24 x 36 x 9
= 7776 m
3 Answer(s): (a) 44 m; (b) 7776 m
3