A rectangular container, 90 cm by 55 cm by 45 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a barrel is 11 : 4. If
34 of the barrel is filled with water, find
- the volume of the barrel.
- the minimum number of such barrels to fill the container.
(a)
Volume of water in the container
= 90 x 55 x 8
= 39600 cm
3 11 u = 39600 cm
3 1 u = 39600 ÷ 11 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
34 of the barrel = 14400 cm
3 Volume of the barrel
= 14400 ÷
34 = 14400 x
43 = 19200 cm
3 (b)
Volume of the container
= 90 x 55 x 45
= 222750 cm
3 Number of barrels to fill the container
= 222750 ÷ 19200
= 11 r 11550
Minimum number of barrels to fill the container
= 11 + 1
= 12
Answer(s): (a) 19200 cm
3; (b) 12