A rectangular container, 80 cm by 45 cm by 40 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the container to that in a pail is 9 : 4. If
23 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
= 80 x 45 x 8
= 28800 cm
3 9 u = 28800 cm
3 1 u = 28800 ÷ 9 = 3200 cm
3 4 u = 4 x 3200 = 12800 cm
3 Volume of water in
23 of the pail = 12800 cm
3 Volume of the pail
= 12800 ÷
23 = 12800 x
32 = 19200 cm
3 (b)
Volume of the container
= 80 x 45 x 40
= 144000 cm
3 Number of pails to fill the container
= 144000 ÷ 19200
= 7 r 9600
Minimum number of pails to fill the container
= 7 + 1
= 8
Answer(s): (a) 19200 cm
3; (b) 8