A rectangular container, 70 cm by 40 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 7 : 6. If
25 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 40 x 12
= 33600 cm
3 7 u = 33600 cm
3 1 u = 33600 ÷ 7 = 4800 cm
3 6 u = 6 x 4800 = 28800 cm
3 Volume of water in
25 of the pail = 28800 cm
3 Volume of the pail
= 28800 ÷
25 = 28800 x
52 = 72000 cm
3 (b)
Volume of the container
= 70 x 40 x 50
= 140000 cm
3 Number of pails to fill the container
= 140000 ÷ 72000
= 1 r 68000
Minimum number of pails to fill the container
= 1 + 1
= 2
Answer(s): (a) 72000 cm
3; (b) 2