A rectangular tank, 90 cm by 45 cm by 35 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 9 : 4. If
25 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 10
= 40500 cm
3 9 u = 40500 cm
3 1 u = 40500 ÷ 9 = 4500 cm
3 4 u = 4 x 4500 = 18000 cm
3 Volume of water in
25 of the pail = 18000 cm
3 Volume of the pail
= 18000 ÷
25 = 18000 x
52 = 45000 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of pails to fill the tank
= 141750 ÷ 45000
= 3 r 6750
Minimum number of pails to fill the tank
= 3 + 1
= 4
Answer(s): (a) 45000 cm
3; (b) 4