A rectangular container, 70 cm by 40 cm by 40 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the container to that in a pail is 7 : 4. 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 40 x 6
= 16800 cm
3 7 u = 16800 cm
3 1 u = 16800 ÷ 7 = 2400 cm
3 4 u = 4 x 2400 = 9600 cm
3 Volume of water in
57 of the pail = 9600 cm
3 Volume of the pail
= 9600 ÷
57 = 9600 x
75 = 13440 cm
3 (b)
Volume of the container
= 70 x 40 x 40
= 112000 cm
3 Number of pails to fill the container
= 112000 ÷ 13440
= 8 r 4480
Minimum number of pails to fill the container
= 8 + 1
= 9
Answer(s): (a) 13440 cm
3; (b) 9