A rectangular container, 70 cm by 40 cm by 40 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 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 12
= 33600 cm
3 7 u = 33600 cm
3 1 u = 33600 ÷ 7 = 4800 cm
3 4 u = 4 x 4800 = 19200 cm
3 Volume of water in
57 of the pail = 19200 cm
3 Volume of the pail
= 19200 ÷
57 = 19200 x
75 = 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