A rectangular container, 80 cm by 45 cm by 45 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 : 2. 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
= 80 x 45 x 11
= 39600 cm
3 5 u = 39600 cm
3 1 u = 39600 ÷ 5 = 7920 cm
3 2 u = 2 x 7920 = 15840 cm
3 Volume of water in
25 of the pail = 15840 cm
3 Volume of the pail
= 15840 ÷
25 = 15840 x
52 = 39600 cm
3 (b)
Volume of the container
= 80 x 45 x 45
= 162000 cm
3 Number of pails to fill the container
= 162000 ÷ 39600
= 4 r 3600
Minimum number of pails to fill the container
= 4 + 1
= 5
Answer(s): (a) 39600 cm
3; (b) 5