A rectangular tank, 70 cm by 40 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 7 : 6. 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
= 70 x 40 x 5
= 14000 cm
3 7 u = 14000 cm
3 1 u = 14000 ÷ 7 = 2000 cm
3 6 u = 6 x 2000 = 12000 cm
3 Volume of water in
57 of the pail = 12000 cm
3 Volume of the pail
= 12000 ÷
57 = 12000 x
75 = 16800 cm
3 (b)
Volume of the tank
= 70 x 40 x 40
= 112000 cm
3 Number of pails to fill the tank
= 112000 ÷ 16800
= 6 r 11200
Minimum number of pails to fill the tank
= 6 + 1
= 7
Answer(s): (a) 16800 cm
3; (b) 7