A rectangular container, 80 cm by 45 cm by 50 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the container to that in a pail is 5 : 2. 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
= 80 x 45 x 10
= 36000 cm
3 5 u = 36000 cm
3 1 u = 36000 ÷ 5 = 7200 cm
3 2 u = 2 x 7200 = 14400 cm
3 Volume of water in
67 of the pail = 14400 cm
3 Volume of the pail
= 14400 ÷
67 = 14400 x
76 = 16800 cm
3 (b)
Volume of the container
= 80 x 45 x 50
= 180000 cm
3 Number of pails to fill the container
= 180000 ÷ 16800
= 10 r 12000
Minimum number of pails to fill the container
= 10 + 1
= 11
Answer(s): (a) 16800 cm
3; (b) 11