A rectangular tank, 90 cm by 55 cm by 40 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 : 6. If
34 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 6
= 29700 cm
3 5 u = 29700 cm
3 1 u = 29700 ÷ 5 = 5940 cm
3 6 u = 6 x 5940 = 35640 cm
3 Volume of water in
34 of the pail = 35640 cm
3 Volume of the pail
= 35640 ÷
34 = 35640 x
43 = 47520 cm
3 (b)
Volume of the tank
= 90 x 55 x 40
= 198000 cm
3 Number of pails to fill the tank
= 198000 ÷ 47520
= 4 r 7920
Minimum number of pails to fill the tank
= 4 + 1
= 5
Answer(s): (a) 47520 cm
3; (b) 5