A rectangular tank, 70 cm by 45 cm by 50 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a container is 9 : 2. If
23 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
= 70 x 45 x 12
= 37800 cm
3 9 u = 37800 cm
3 1 u = 37800 ÷ 9 = 4200 cm
3 2 u = 2 x 4200 = 8400 cm
3 Volume of water in
23 of the container = 8400 cm
3 Volume of the container
= 8400 ÷
23 = 8400 x
32 = 12600 cm
3 (b)
Volume of the tank
= 70 x 45 x 50
= 157500 cm
3 Number of containers to fill the tank
= 157500 ÷ 12600
= 12 r 6300
Minimum number of containers to fill the tank
= 12 + 1
= 13
Answer(s): (a) 12600 cm
3; (b) 13