A rectangular container, 90 cm by 45 cm by 50 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 9 : 2. 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 45 x 11
= 44550 cm
3 9 u = 44550 cm
3 1 u = 44550 ÷ 9 = 4950 cm
3 2 u = 2 x 4950 = 9900 cm
3 Volume of water in
35 of the pail = 9900 cm
3 Volume of the pail
= 9900 ÷
35 = 9900 x
53 = 16500 cm
3 (b)
Volume of the container
= 90 x 45 x 50
= 202500 cm
3 Number of pails to fill the container
= 202500 ÷ 16500
= 12 r 4500
Minimum number of pails to fill the container
= 12 + 1
= 13
Answer(s): (a) 16500 cm
3; (b) 13