A rectangular container, 70 cm by 45 cm by 50 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a pail is 9 : 2. If
57 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 5
= 15750 cm
3 9 u = 15750 cm
3 1 u = 15750 ÷ 9 = 1750 cm
3 2 u = 2 x 1750 = 3500 cm
3 Volume of water in
57 of the pail = 3500 cm
3 Volume of the pail
= 3500 ÷
57 = 3500 x
75 = 4900 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of pails to fill the container
= 157500 ÷ 4900
= 32 r 700
Minimum number of pails to fill the container
= 32 + 1
= 33
Answer(s): (a) 4900 cm
3; (b) 33