A rectangular container, 70 cm by 50 cm by 35 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 11 : 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 50 x 11
= 38500 cm
3 11 u = 38500 cm
3 1 u = 38500 ÷ 11 = 3500 cm
3 6 u = 6 x 3500 = 21000 cm
3 Volume of water in
23 of the barrel = 21000 cm
3 Volume of the barrel
= 21000 ÷
23 = 21000 x
32 = 31500 cm
3 (b)
Volume of the container
= 70 x 50 x 35
= 122500 cm
3 Number of barrels to fill the container
= 122500 ÷ 31500
= 3 r 28000
Minimum number of barrels to fill the container
= 3 + 1
= 4
Answer(s): (a) 31500 cm
3; (b) 4