A rectangular container, 90 cm by 50 cm by 40 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a pail is 5 : 6. If
35 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
= 90 x 50 x 8
= 36000 cm
3 5 u = 36000 cm
3 1 u = 36000 ÷ 5 = 7200 cm
3 6 u = 6 x 7200 = 43200 cm
3 Volume of water in
35 of the pail = 43200 cm
3 Volume of the pail
= 43200 ÷
35 = 43200 x
53 = 72000 cm
3 (b)
Volume of the container
= 90 x 50 x 40
= 180000 cm
3 Number of pails to fill the container
= 180000 ÷ 72000
= 2 r 36000
Minimum number of pails to fill the container
= 2 + 1
= 3
Answer(s): (a) 72000 cm
3; (b) 3