A rectangular tank, 90 cm by 50 cm by 40 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 9 : 2. If
23 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 50 x 12
= 54000 cm
3 9 u = 54000 cm
3 1 u = 54000 ÷ 9 = 6000 cm
3 2 u = 2 x 6000 = 12000 cm
3 Volume of water in
23 of the pail = 12000 cm
3 Volume of the pail
= 12000 ÷
23 = 12000 x
32 = 18000 cm
3 (b)
Volume of the tank
= 90 x 50 x 40
= 180000 cm
3 Number of pails to fill the tank
= 180000 ÷ 18000
= 10 r 0
Minimum number of pails to fill the tank
= 10 + 1
= 11
Answer(s): (a) 18000 cm
3; (b) 11