A rectangular tank, 70 cm by 50 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 : 4. 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 50 x 11
= 38500 cm
3 7 u = 38500 cm
3 1 u = 38500 ÷ 7 = 5500 cm
3 4 u = 4 x 5500 = 22000 cm
3 Volume of water in
23 of the container = 22000 cm
3 Volume of the container
= 22000 ÷
23 = 22000 x
32 = 33000 cm
3 (b)
Volume of the tank
= 70 x 50 x 50
= 175000 cm
3 Number of containers to fill the tank
= 175000 ÷ 33000
= 5 r 10000
Minimum number of containers to fill the tank
= 5 + 1
= 6
Answer(s): (a) 33000 cm
3; (b) 6