A rectangular container, 90 cm by 50 cm by 45 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the container to that in a pail is 5 : 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 50 x 7
= 31500 cm
3 5 u = 31500 cm
3 1 u = 31500 ÷ 5 = 6300 cm
3 6 u = 6 x 6300 = 37800 cm
3 Volume of water in
34 of the pail = 37800 cm
3 Volume of the pail
= 37800 ÷
34 = 37800 x
43 = 50400 cm
3 (b)
Volume of the container
= 90 x 50 x 45
= 202500 cm
3 Number of pails to fill the container
= 202500 ÷ 50400
= 4 r 900
Minimum number of pails to fill the container
= 4 + 1
= 5
Answer(s): (a) 50400 cm
3; (b) 5