A rectangular container, 70 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 container to that in a pail is 5 : 6. If
67 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the container.
(a)
Volume of water in the container
= 70 x 55 x 9
= 34650 cm
3 5 u = 34650 cm
3 1 u = 34650 ÷ 5 = 6930 cm
3 6 u = 6 x 6930 = 41580 cm
3 Volume of water in
67 of the pail = 41580 cm
3 Volume of the pail
= 41580 ÷
67 = 41580 x
76 = 48510 cm
3 (b)
Volume of the container
= 70 x 55 x 50
= 192500 cm
3 Number of pails to fill the container
= 192500 ÷ 48510
= 3 r 46970
Minimum number of pails to fill the container
= 3 + 1
= 4
Answer(s): (a) 48510 cm
3; (b) 4