A rectangular tank, 90 cm by 55 cm by 45 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a pail is 11 : 4. If
34 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 12
= 59400 cm
3 11 u = 59400 cm
3 1 u = 59400 ÷ 11 = 5400 cm
3 4 u = 4 x 5400 = 21600 cm
3 Volume of water in
34 of the pail = 21600 cm
3 Volume of the pail
= 21600 ÷
34 = 21600 x
43 = 28800 cm
3 (b)
Volume of the tank
= 90 x 55 x 45
= 222750 cm
3 Number of pails to fill the tank
= 222750 ÷ 28800
= 7 r 21150
Minimum number of pails to fill the tank
= 7 + 1
= 8
Answer(s): (a) 28800 cm
3; (b) 8