A rectangular tank, 70 cm by 55 cm by 40 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank 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 tank.
(a)
Volume of water in the tank
= 70 x 55 x 6
= 23100 cm
3 5 u = 23100 cm
3 1 u = 23100 ÷ 5 = 4620 cm
3 4 u = 4 x 4620 = 18480 cm
3 Volume of water in
23 of the barrel = 18480 cm
3 Volume of the barrel
= 18480 ÷
23 = 18480 x
32 = 27720 cm
3 (b)
Volume of the tank
= 70 x 55 x 40
= 154000 cm
3 Number of barrels to fill the tank
= 154000 ÷ 27720
= 5 r 15400
Minimum number of barrels to fill the tank
= 5 + 1
= 6
Answer(s): (a) 27720 cm
3; (b) 6