A rectangular tank, 80 cm by 55 cm by 45 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a container is 5 : 2. If
25 of the container is filled with water, find
- the volume of the container.
- the minimum number of such containers to fill the tank.
(a)
Volume of water in the tank
= 80 x 55 x 6
= 26400 cm
3 5 u = 26400 cm
3 1 u = 26400 ÷ 5 = 5280 cm
3 2 u = 2 x 5280 = 10560 cm
3 Volume of water in
25 of the container = 10560 cm
3 Volume of the container
= 10560 ÷
25 = 10560 x
52 = 26400 cm
3 (b)
Volume of the tank
= 80 x 55 x 45
= 198000 cm
3 Number of containers to fill the tank
= 198000 ÷ 26400
= 7 r 13200
Minimum number of containers to fill the tank
= 7 + 1
= 8
Answer(s): (a) 26400 cm
3; (b) 8