A rectangular container, 70 cm by 45 cm by 40 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 9 : 2. If
35 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
= 70 x 45 x 6
= 18900 cm
3 9 u = 18900 cm
3 1 u = 18900 ÷ 9 = 2100 cm
3 2 u = 2 x 2100 = 4200 cm
3 Volume of water in
35 of the barrel = 4200 cm
3 Volume of the barrel
= 4200 ÷
35 = 4200 x
53 = 7000 cm
3 (b)
Volume of the container
= 70 x 45 x 40
= 126000 cm
3 Number of barrels to fill the container
= 126000 ÷ 7000
= 18 r 0
Minimum number of barrels to fill the container
= 18 + 1
= 19
Answer(s): (a) 7000 cm
3; (b) 19