A rectangular container, 80 cm by 40 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 : 6. 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
= 80 x 40 x 7
= 22400 cm
3 5 u = 22400 cm
3 1 u = 22400 ÷ 5 = 4480 cm
3 6 u = 6 x 4480 = 26880 cm
3 Volume of water in
35 of the barrel = 26880 cm
3 Volume of the barrel
= 26880 ÷
35 = 26880 x
53 = 44800 cm
3 (b)
Volume of the container
= 80 x 40 x 35
= 112000 cm
3 Number of barrels to fill the container
= 112000 ÷ 44800
= 2 r 22400
Minimum number of barrels to fill the container
= 2 + 1
= 3
Answer(s): (a) 44800 cm
3; (b) 3