A rectangular tank, 70 cm by 55 cm by 35 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 7 : 4. If
35 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 7 u = 23100 cm
3 1 u = 23100 ÷ 7 = 3300 cm
3 4 u = 4 x 3300 = 13200 cm
3 Volume of water in
35 of the barrel = 13200 cm
3 Volume of the barrel
= 13200 ÷
35 = 13200 x
53 = 22000 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of barrels to fill the tank
= 134750 ÷ 22000
= 6 r 2750
Minimum number of barrels to fill the tank
= 6 + 1
= 7
Answer(s): (a) 22000 cm
3; (b) 7