A rectangular tank, 70 cm by 55 cm by 50 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 7 : 2. If
25 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 11
= 42350 cm
3 7 u = 42350 cm
3 1 u = 42350 ÷ 7 = 6050 cm
3 2 u = 2 x 6050 = 12100 cm
3 Volume of water in
25 of the barrel = 12100 cm
3 Volume of the barrel
= 12100 ÷
25 = 12100 x
52 = 30250 cm
3 (b)
Volume of the tank
= 70 x 55 x 50
= 192500 cm
3 Number of barrels to fill the tank
= 192500 ÷ 30250
= 6 r 11000
Minimum number of barrels to fill the tank
= 6 + 1
= 7
Answer(s): (a) 30250 cm
3; (b) 7