A rectangular container, 70 cm by 40 cm by 50 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 5 : 6. 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 40 x 9
= 25200 cm
3 5 u = 25200 cm
3 1 u = 25200 ÷ 5 = 5040 cm
3 6 u = 6 x 5040 = 30240 cm
3 Volume of water in
23 of the barrel = 30240 cm
3 Volume of the barrel
= 30240 ÷
23 = 30240 x
32 = 45360 cm
3 (b)
Volume of the container
= 70 x 40 x 50
= 140000 cm
3 Number of barrels to fill the container
= 140000 ÷ 45360
= 3 r 3920
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 45360 cm
3; (b) 4