A rectangular tank, 90 cm by 40 cm by 50 cm, is filled with water to a height of 7 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
= 90 x 40 x 7
= 25200 cm
3 5 u = 25200 cm
3 1 u = 25200 ÷ 5 = 5040 cm
3 2 u = 2 x 5040 = 10080 cm
3 Volume of water in
35 of the pail = 10080 cm
3 Volume of the pail
= 10080 ÷
35 = 10080 x
53 = 16800 cm
3 (b)
Volume of the tank
= 90 x 40 x 50
= 180000 cm
3 Number of pails to fill the tank
= 180000 ÷ 16800
= 10 r 12000
Minimum number of pails to fill the tank
= 10 + 1
= 11
Answer(s): (a) 16800 cm
3; (b) 11