A rectangular tank, 90 cm by 45 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 5 : 6. 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
= 90 x 45 x 11
= 44550 cm
3 5 u = 44550 cm
3 1 u = 44550 ÷ 5 = 8910 cm
3 6 u = 6 x 8910 = 53460 cm
3 Volume of water in
25 of the barrel = 53460 cm
3 Volume of the barrel
= 53460 ÷
25 = 53460 x
52 = 133650 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of barrels to fill the tank
= 141750 ÷ 133650
= 1 r 8100
Minimum number of barrels to fill the tank
= 1 + 1
= 2
Answer(s): (a) 133650 cm
3; (b) 2