A rectangular container, 70 cm by 45 cm by 45 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the container to that in a pail is 9 : 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
= 70 x 45 x 12
= 37800 cm
3 9 u = 37800 cm
3 1 u = 37800 ÷ 9 = 4200 cm
3 2 u = 2 x 4200 = 8400 cm
3 Volume of water in
25 of the pail = 8400 cm
3 Volume of the pail
= 8400 ÷
25 = 8400 x
52 = 21000 cm
3 (b)
Volume of the container
= 70 x 45 x 45
= 141750 cm
3 Number of pails to fill the container
= 141750 ÷ 21000
= 6 r 15750
Minimum number of pails to fill the container
= 6 + 1
= 7
Answer(s): (a) 21000 cm
3; (b) 7