A rectangular container, 90 cm by 40 cm by 35 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 5 : 4. If
35 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
= 90 x 40 x 8
= 28800 cm
3 5 u = 28800 cm
3 1 u = 28800 ÷ 5 = 5760 cm
3 4 u = 4 x 5760 = 23040 cm
3 Volume of water in
35 of the pail = 23040 cm
3 Volume of the pail
= 23040 ÷
35 = 23040 x
53 = 38400 cm
3 (b)
Volume of the container
= 90 x 40 x 35
= 126000 cm
3 Number of pails to fill the container
= 126000 ÷ 38400
= 3 r 10800
Minimum number of pails to fill the container
= 3 + 1
= 4
Answer(s): (a) 38400 cm
3; (b) 4