A rectangular container, 70 cm by 40 cm by 45 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the container to that in a pail is 5 : 2. If
57 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 11
= 30800 cm
3 5 u = 30800 cm
3 1 u = 30800 ÷ 5 = 6160 cm
3 2 u = 2 x 6160 = 12320 cm
3 Volume of water in
57 of the pail = 12320 cm
3 Volume of the pail
= 12320 ÷
57 = 12320 x
75 = 17248 cm
3 (b)
Volume of the container
= 70 x 40 x 45
= 126000 cm
3 Number of pails to fill the container
= 126000 ÷ 17248
= 7 r 5264
Minimum number of pails to fill the container
= 7 + 1
= 8
Answer(s): (a) 17248 cm
3; (b) 8