A rectangular container, 70 cm by 45 cm by 50 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 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 45 x 9
= 28350 cm
3 7 u = 28350 cm
3 1 u = 28350 ÷ 7 = 4050 cm
3 4 u = 4 x 4050 = 16200 cm
3 Volume of water in
23 of the pail = 16200 cm
3 Volume of the pail
= 16200 ÷
23 = 16200 x
32 = 24300 cm
3 (b)
Volume of the container
= 70 x 45 x 50
= 157500 cm
3 Number of pails to fill the container
= 157500 ÷ 24300
= 6 r 11700
Minimum number of pails to fill the container
= 6 + 1
= 7
Answer(s): (a) 24300 cm
3; (b) 7