A rectangular tank, 90 cm by 55 cm by 45 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the tank to that in a pail is 11 : 2. If
67 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the tank.
(a)
Volume of water in the tank
= 90 x 55 x 9
= 44550 cm
3 11 u = 44550 cm
3 1 u = 44550 ÷ 11 = 4050 cm
3 2 u = 2 x 4050 = 8100 cm
3 Volume of water in
67 of the pail = 8100 cm
3 Volume of the pail
= 8100 ÷
67 = 8100 x
76 = 9450 cm
3 (b)
Volume of the tank
= 90 x 55 x 45
= 222750 cm
3 Number of pails to fill the tank
= 222750 ÷ 9450
= 23 r 5400
Minimum number of pails to fill the tank
= 23 + 1
= 24
Answer(s): (a) 9450 cm
3; (b) 24