A rectangular tank, 90 cm by 50 cm by 45 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
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 50 x 6
= 27000 cm
3 9 u = 27000 cm
3 1 u = 27000 ÷ 9 = 3000 cm
3 4 u = 4 x 3000 = 12000 cm
3 Volume of water in
35 of the pail = 12000 cm
3 Volume of the pail
= 12000 ÷
35 = 12000 x
53 = 20000 cm
3 (b)
Volume of the tank
= 90 x 50 x 45
= 202500 cm
3 Number of pails to fill the tank
= 202500 ÷ 20000
= 10 r 2500
Minimum number of pails to fill the tank
= 10 + 1
= 11
Answer(s): (a) 20000 cm
3; (b) 11