A rectangular tank, 70 cm by 45 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 5 : 2. If
34 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 45 x 6
= 18900 cm
3 5 u = 18900 cm
3 1 u = 18900 ÷ 5 = 3780 cm
3 2 u = 2 x 3780 = 7560 cm
3 Volume of water in
34 of the barrel = 7560 cm
3 Volume of the barrel
= 7560 ÷
34 = 7560 x
43 = 10080 cm
3 (b)
Volume of the tank
= 70 x 45 x 35
= 110250 cm
3 Number of barrels to fill the tank
= 110250 ÷ 10080
= 10 r 9450
Minimum number of barrels to fill the tank
= 10 + 1
= 11
Answer(s): (a) 10080 cm
3; (b) 11