A rectangular tank, 90 cm by 45 cm by 45 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 4. If
67 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 45 x 6
= 24300 cm
3 5 u = 24300 cm
3 1 u = 24300 ÷ 5 = 4860 cm
3 4 u = 4 x 4860 = 19440 cm
3 Volume of water in
67 of the pail = 19440 cm
3 Volume of the pail
= 19440 ÷
67 = 19440 x
76 = 22680 cm
3 (b)
Volume of the tank
= 90 x 45 x 45
= 182250 cm
3 Number of pails to fill the tank
= 182250 ÷ 22680
= 8 r 810
Minimum number of pails to fill the tank
= 8 + 1
= 9
Answer(s): (a) 22680 cm
3; (b) 9