A rectangular tank, 90 cm by 55 cm by 50 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a pail is 11 : 6. 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 6
= 29700 cm
3 11 u = 29700 cm
3 1 u = 29700 ÷ 11 = 2700 cm
3 6 u = 6 x 2700 = 16200 cm
3 Volume of water in
34 of the pail = 16200 cm
3 Volume of the pail
= 16200 ÷
34 = 16200 x
43 = 21600 cm
3 (b)
Volume of the tank
= 90 x 55 x 50
= 247500 cm
3 Number of pails to fill the tank
= 247500 ÷ 21600
= 11 r 9900
Minimum number of pails to fill the tank
= 11 + 1
= 12
Answer(s): (a) 21600 cm
3; (b) 12