A rectangular tank, 70 cm by 45 cm by 50 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 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
= 70 x 45 x 8
= 25200 cm
3 5 u = 25200 cm
3 1 u = 25200 ÷ 5 = 5040 cm
3 2 u = 2 x 5040 = 10080 cm
3 Volume of water in
67 of the pail = 10080 cm
3 Volume of the pail
= 10080 ÷
67 = 10080 x
76 = 11760 cm
3 (b)
Volume of the tank
= 70 x 45 x 50
= 157500 cm
3 Number of pails to fill the tank
= 157500 ÷ 11760
= 13 r 4620
Minimum number of pails to fill the tank
= 13 + 1
= 14
Answer(s): (a) 11760 cm
3; (b) 14