A rectangular container, 70 cm by 50 cm by 50 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the container to that in a pail is 11 : 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 50 x 11
= 38500 cm
3 11 u = 38500 cm
3 1 u = 38500 ÷ 11 = 3500 cm
3 6 u = 6 x 3500 = 21000 cm
3 Volume of water in
67 of the pail = 21000 cm
3 Volume of the pail
= 21000 ÷
67 = 21000 x
76 = 24500 cm
3 (b)
Volume of the container
= 70 x 50 x 50
= 175000 cm
3 Number of pails to fill the container
= 175000 ÷ 24500
= 7 r 3500
Minimum number of pails to fill the container
= 7 + 1
= 8
Answer(s): (a) 24500 cm
3; (b) 8