A rectangular container, 70 cm by 50 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 7 : 4. 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 50 x 5
= 17500 cm
3 7 u = 17500 cm
3 1 u = 17500 ÷ 7 = 2500 cm
3 4 u = 4 x 2500 = 10000 cm
3 Volume of water in
23 of the pail = 10000 cm
3 Volume of the pail
= 10000 ÷
23 = 10000 x
32 = 15000 cm
3 (b)
Volume of the container
= 70 x 50 x 45
= 157500 cm
3 Number of pails to fill the container
= 157500 ÷ 15000
= 10 r 7500
Minimum number of pails to fill the container
= 10 + 1
= 11
Answer(s): (a) 15000 cm
3; (b) 11