A rectangular container, 70 cm by 40 cm by 35 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 5 : 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 40 x 11
= 30800 cm
3 5 u = 30800 cm
3 1 u = 30800 ÷ 5 = 6160 cm
3 4 u = 4 x 6160 = 24640 cm
3 Volume of water in
25 of the pail = 24640 cm
3 Volume of the pail
= 24640 ÷
25 = 24640 x
52 = 61600 cm
3 (b)
Volume of the container
= 70 x 40 x 35
= 98000 cm
3 Number of pails to fill the container
= 98000 ÷ 61600
= 1 r 36400
Minimum number of pails to fill the container
= 1 + 1
= 2
Answer(s): (a) 61600 cm
3; (b) 2