A rectangular tank, 80 cm by 50 cm by 50 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 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
= 80 x 50 x 12
= 48000 cm
3 5 u = 48000 cm
3 1 u = 48000 ÷ 5 = 9600 cm
3 4 u = 4 x 9600 = 38400 cm
3 Volume of water in
35 of the pail = 38400 cm
3 Volume of the pail
= 38400 ÷
35 = 38400 x
53 = 64000 cm
3 (b)
Volume of the tank
= 80 x 50 x 50
= 200000 cm
3 Number of pails to fill the tank
= 200000 ÷ 64000
= 3 r 8000
Minimum number of pails to fill the tank
= 3 + 1
= 4
Answer(s): (a) 64000 cm
3; (b) 4