A rectangular tank, 90 cm by 55 cm by 45 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a pail is 11 : 6. If
35 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 10
= 49500 cm
3 11 u = 49500 cm
3 1 u = 49500 ÷ 11 = 4500 cm
3 6 u = 6 x 4500 = 27000 cm
3 Volume of water in
35 of the pail = 27000 cm
3 Volume of the pail
= 27000 ÷
35 = 27000 x
53 = 45000 cm
3 (b)
Volume of the tank
= 90 x 55 x 45
= 222750 cm
3 Number of pails to fill the tank
= 222750 ÷ 45000
= 4 r 42750
Minimum number of pails to fill the tank
= 4 + 1
= 5
Answer(s): (a) 45000 cm
3; (b) 5