A rectangular container, 70 cm by 45 cm by 40 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the container to that in a pail is 7 : 4. If
25 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 45 x 6
= 18900 cm
3 7 u = 18900 cm
3 1 u = 18900 ÷ 7 = 2700 cm
3 4 u = 4 x 2700 = 10800 cm
3 Volume of water in
25 of the pail = 10800 cm
3 Volume of the pail
= 10800 ÷
25 = 10800 x
52 = 27000 cm
3 (b)
Volume of the container
= 70 x 45 x 40
= 126000 cm
3 Number of pails to fill the container
= 126000 ÷ 27000
= 4 r 18000
Minimum number of pails to fill the container
= 4 + 1
= 5
Answer(s): (a) 27000 cm
3; (b) 5