A rectangular tank, 90 cm by 40 cm by 35 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a barrel is 11 : 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 tank.
(a)
Volume of water in the tank
= 90 x 40 x 11
= 39600 cm
3 11 u = 39600 cm
3 1 u = 39600 ÷ 11 = 3600 cm
3 4 u = 4 x 3600 = 14400 cm
3 Volume of water in
23 of the barrel = 14400 cm
3 Volume of the barrel
= 14400 ÷
23 = 14400 x
32 = 21600 cm
3 (b)
Volume of the tank
= 90 x 40 x 35
= 126000 cm
3 Number of barrels to fill the tank
= 126000 ÷ 21600
= 5 r 18000
Minimum number of barrels to fill the tank
= 5 + 1
= 6
Answer(s): (a) 21600 cm
3; (b) 6