A rectangular container, 70 cm by 45 cm by 50 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 5 : 6. If
67 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 45 x 12
= 37800 cm
3 5 u = 37800 cm
3 1 u = 37800 ÷ 5 = 7560 cm
3 6 u = 6 x 7560 = 45360 cm
3 Volume of water in
67 of the pail = 45360 cm
3 Volume of the pail
= 45360 ÷
67 = 45360 x
76 = 52920 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of pails to fill the container
= 157500 ÷ 52920
= 2 r 51660
Minimum number of pails to fill the container
= 2 + 1
= 3
Answer(s): (a) 52920 cm
3; (b) 3