A rectangular container, 80 cm by 55 cm by 35 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the container to that in a barrel is 11 : 6. 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
= 80 x 55 x 6
= 26400 cm
3 11 u = 26400 cm
3 1 u = 26400 ÷ 11 = 2400 cm
3 6 u = 6 x 2400 = 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
= 80 x 55 x 35
= 154000 cm
3 Number of barrels to fill the container
= 154000 ÷ 19200
= 8 r 400
Minimum number of barrels to fill the container
= 8 + 1
= 9
Answer(s): (a) 19200 cm
3; (b) 9