A rectangular container, 70 cm by 40 cm by 40 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a pail is 5 : 4. If
34 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 40 x 9
= 25200 cm
3 5 u = 25200 cm
3 1 u = 25200 ÷ 5 = 5040 cm
3 4 u = 4 x 5040 = 20160 cm
3 Volume of water in
34 of the pail = 20160 cm
3 Volume of the pail
= 20160 ÷
34 = 20160 x
43 = 26880 cm
3 (b)
Volume of the container
= 70 x 40 x 40
= 112000 cm
3 Number of pails to fill the container
= 112000 ÷ 26880
= 4 r 4480
Minimum number of pails to fill the container
= 4 + 1
= 5
Answer(s): (a) 26880 cm
3; (b) 5