A rectangular container, 80 cm by 50 cm by 50 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the container to that in a barrel is 5 : 6. If
25 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 11
= 44000 cm
3 5 u = 44000 cm
3 1 u = 44000 ÷ 5 = 8800 cm
3 6 u = 6 x 8800 = 52800 cm
3 Volume of water in
25 of the barrel = 52800 cm
3 Volume of the barrel
= 52800 ÷
25 = 52800 x
52 = 132000 cm
3 (b)
Volume of the container
= 80 x 50 x 50
= 200000 cm
3 Number of barrels to fill the container
= 200000 ÷ 132000
= 1 r 68000
Minimum number of barrels to fill the container
= 1 + 1
= 2
Answer(s): (a) 132000 cm
3; (b) 2