A rectangular container, 90 cm by 50 cm by 40 cm, is filled with water to a height of 11 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 50 x 11
= 49500 cm
3 11 u = 49500 cm
3 1 u = 49500 ÷ 11 = 4500 cm
3 4 u = 4 x 4500 = 18000 cm
3 Volume of water in
34 of the barrel = 18000 cm
3 Volume of the barrel
= 18000 ÷
34 = 18000 x
43 = 24000 cm
3 (b)
Volume of the container
= 90 x 50 x 40
= 180000 cm
3 Number of barrels to fill the container
= 180000 ÷ 24000
= 7 r 12000
Minimum number of barrels to fill the container
= 7 + 1
= 8
Answer(s): (a) 24000 cm
3; (b) 8