A rectangular tank, 70 cm by 55 cm by 35 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 11 : 6. 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
= 70 x 55 x 6
= 23100 cm
3 11 u = 23100 cm
3 1 u = 23100 ÷ 11 = 2100 cm
3 6 u = 6 x 2100 = 12600 cm
3 Volume of water in
25 of the pail = 12600 cm
3 Volume of the pail
= 12600 ÷
25 = 12600 x
52 = 31500 cm
3 (b)
Volume of the tank
= 70 x 55 x 35
= 134750 cm
3 Number of pails to fill the tank
= 134750 ÷ 31500
= 4 r 8750
Minimum number of pails to fill the tank
= 4 + 1
= 5
Answer(s): (a) 31500 cm
3; (b) 5