A rectangular container, 70 cm by 45 cm by 35 cm, is filled with water to a height of 9 cm. The ratio of the volume of water in the container to that in a pail is 5 : 2. If
23 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 9
= 28350 cm
3 5 u = 28350 cm
3 1 u = 28350 ÷ 5 = 5670 cm
3 2 u = 2 x 5670 = 11340 cm
3 Volume of water in
23 of the pail = 11340 cm
3 Volume of the pail
= 11340 ÷
23 = 11340 x
32 = 17010 cm
3 (b)
Volume of the container
= 70 x 45 x 35
= 110250 cm
3 Number of pails to fill the container
= 110250 ÷ 17010
= 6 r 8190
Minimum number of pails to fill the container
= 6 + 1
= 7
Answer(s): (a) 17010 cm
3; (b) 7