A rectangular tank, 80 cm by 45 cm by 35 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 9 : 4. If
57 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
= 80 x 45 x 6
= 21600 cm
3 9 u = 21600 cm
3 1 u = 21600 ÷ 9 = 2400 cm
3 4 u = 4 x 2400 = 9600 cm
3 Volume of water in
57 of the pail = 9600 cm
3 Volume of the pail
= 9600 ÷
57 = 9600 x
75 = 13440 cm
3 (b)
Volume of the tank
= 80 x 45 x 35
= 126000 cm
3 Number of pails to fill the tank
= 126000 ÷ 13440
= 9 r 5040
Minimum number of pails to fill the tank
= 9 + 1
= 10
Answer(s): (a) 13440 cm
3; (b) 10