A rectangular tank, 90 cm by 55 cm by 50 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 5 : 6. 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 5 u = 44550 cm
3 1 u = 44550 ÷ 5 = 8910 cm
3 6 u = 6 x 8910 = 53460 cm
3 Volume of water in
67 of the pail = 53460 cm
3 Volume of the pail
= 53460 ÷
67 = 53460 x
76 = 62370 cm
3 (b)
Volume of the tank
= 90 x 55 x 50
= 247500 cm
3 Number of pails to fill the tank
= 247500 ÷ 62370
= 3 r 60390
Minimum number of pails to fill the tank
= 3 + 1
= 4
Answer(s): (a) 62370 cm
3; (b) 4