A rectangular tank, 90 cm by 55 cm by 50 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 4. 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
= 90 x 55 x 10
= 49500 cm
3 5 u = 49500 cm
3 1 u = 49500 ÷ 5 = 9900 cm
3 4 u = 4 x 9900 = 39600 cm
3 Volume of water in
57 of the pail = 39600 cm
3 Volume of the pail
= 39600 ÷
57 = 39600 x
75 = 55440 cm
3 (b)
Volume of the tank
= 90 x 55 x 50
= 247500 cm
3 Number of pails to fill the tank
= 247500 ÷ 55440
= 4 r 25740
Minimum number of pails to fill the tank
= 4 + 1
= 5
Answer(s): (a) 55440 cm
3; (b) 5