A rectangular tank, 70 cm by 45 cm by 50 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a container is 7 : 2. If
67 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 11
= 34650 cm
3 7 u = 34650 cm
3 1 u = 34650 ÷ 7 = 4950 cm
3 2 u = 2 x 4950 = 9900 cm
3 Volume of water in
67 of the container = 9900 cm
3 Volume of the container
= 9900 ÷
67 = 9900 x
76 = 11550 cm
3 (b)
Volume of the tank
= 70 x 45 x 50
= 157500 cm
3 Number of containers to fill the tank
= 157500 ÷ 11550
= 13 r 7350
Minimum number of containers to fill the tank
= 13 + 1
= 14
Answer(s): (a) 11550 cm
3; (b) 14