A rectangular container, 80 cm by 55 cm by 35 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 4. 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
= 80 x 55 x 7
= 30800 cm
3 5 u = 30800 cm
3 1 u = 30800 ÷ 5 = 6160 cm
3 4 u = 4 x 6160 = 24640 cm
3 Volume of water in
23 of the barrel = 24640 cm
3 Volume of the barrel
= 24640 ÷
23 = 24640 x
32 = 36960 cm
3 (b)
Volume of the container
= 80 x 55 x 35
= 154000 cm
3 Number of barrels to fill the container
= 154000 ÷ 36960
= 4 r 6160
Minimum number of barrels to fill the container
= 4 + 1
= 5
Answer(s): (a) 36960 cm
3; (b) 5