A rectangular tank, 70 cm by 45 cm by 35 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 : 4. If
34 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 4 u = 4 x 4200 = 16800 cm
3 Volume of water in
34 of the container = 16800 cm
3 Volume of the container
= 16800 ÷
34 = 16800 x
43 = 22400 cm
3 (b)
Volume of the tank
= 70 x 45 x 35
= 110250 cm
3 Number of containers to fill the tank
= 110250 ÷ 22400
= 4 r 20650
Minimum number of containers to fill the tank
= 4 + 1
= 5
Answer(s): (a) 22400 cm
3; (b) 5