A rectangular tank, 90 cm by 55 cm by 50 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 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 55 x 9
= 44550 cm
3 5 u = 44550 cm
3 1 u = 44550 ÷ 5 = 8910 cm
3 2 u = 2 x 8910 = 17820 cm
3 Volume of water in
23 of the pail = 17820 cm
3 Volume of the pail
= 17820 ÷
23 = 17820 x
32 = 26730 cm
3 (b)
Volume of the tank
= 90 x 55 x 50
= 247500 cm
3 Number of pails to fill the tank
= 247500 ÷ 26730
= 9 r 6930
Minimum number of pails to fill the tank
= 9 + 1
= 10
Answer(s): (a) 26730 cm
3; (b) 10