A rectangular tank, 70 cm by 40 cm by 45 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank to that in a container is 5 : 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 40 x 7
= 19600 cm
3 5 u = 19600 cm
3 1 u = 19600 ÷ 5 = 3920 cm
3 2 u = 2 x 3920 = 7840 cm
3 Volume of water in
23 of the container = 7840 cm
3 Volume of the container
= 7840 ÷
23 = 7840 x
32 = 11760 cm
3 (b)
Volume of the tank
= 70 x 40 x 45
= 126000 cm
3 Number of containers to fill the tank
= 126000 ÷ 11760
= 10 r 8400
Minimum number of containers to fill the tank
= 10 + 1
= 11
Answer(s): (a) 11760 cm
3; (b) 11