A rectangular container, 90 cm by 55 cm by 45 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the container to that in a pail is 11 : 6. 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
= 90 x 55 x 5
= 24750 cm
3 11 u = 24750 cm
3 1 u = 24750 ÷ 11 = 2250 cm
3 6 u = 6 x 2250 = 13500 cm
3 Volume of water in
34 of the pail = 13500 cm
3 Volume of the pail
= 13500 ÷
34 = 13500 x
43 = 18000 cm
3 (b)
Volume of the container
= 90 x 55 x 45
= 222750 cm
3 Number of pails to fill the container
= 222750 ÷ 18000
= 12 r 6750
Minimum number of pails to fill the container
= 12 + 1
= 13
Answer(s): (a) 18000 cm
3; (b) 13