A rectangular container, 70 cm by 55 cm by 40 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a barrel is 7 : 2. If
23 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 55 x 9
= 34650 cm
3 7 u = 34650 cm
3 1 u = 34650 ÷ 7 = 4950 cm
3 2 u = 2 x 4950 = 9900 cm
3 Volume of water in
23 of the barrel = 9900 cm
3 Volume of the barrel
= 9900 ÷
23 = 9900 x
32 = 14850 cm
3 (b)
Volume of the container
= 70 x 55 x 40
= 154000 cm
3 Number of barrels to fill the container
= 154000 ÷ 14850
= 10 r 5500
Minimum number of barrels to fill the container
= 10 + 1
= 11
Answer(s): (a) 14850 cm
3; (b) 11