A rectangular tank, 70 cm by 45 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 2. 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
= 70 x 45 x 5
= 15750 cm
3 5 u = 15750 cm
3 1 u = 15750 ÷ 5 = 3150 cm
3 2 u = 2 x 3150 = 6300 cm
3 Volume of water in
35 of the pail = 6300 cm
3 Volume of the pail
= 6300 ÷
35 = 6300 x
53 = 10500 cm
3 (b)
Volume of the tank
= 70 x 45 x 40
= 126000 cm
3 Number of pails to fill the tank
= 126000 ÷ 10500
= 12 r 0
Minimum number of pails to fill the tank
= 12 + 1
= 13
Answer(s): (a) 10500 cm
3; (b) 13