A rectangular container, 80 cm by 50 cm by 35 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 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 50 x 8
= 32000 cm
3 5 u = 32000 cm
3 1 u = 32000 ÷ 5 = 6400 cm
3 6 u = 6 x 6400 = 38400 cm
3 Volume of water in
34 of the barrel = 38400 cm
3 Volume of the barrel
= 38400 ÷
34 = 38400 x
43 = 51200 cm
3 (b)
Volume of the container
= 80 x 50 x 35
= 140000 cm
3 Number of barrels to fill the container
= 140000 ÷ 51200
= 2 r 37600
Minimum number of barrels to fill the container
= 2 + 1
= 3
Answer(s): (a) 51200 cm
3; (b) 3