A rectangular container, 70 cm by 50 cm by 50 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 11 : 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 11
= 38500 cm
3 11 u = 38500 cm
3 1 u = 38500 ÷ 11 = 3500 cm
3 4 u = 4 x 3500 = 14000 cm
3 Volume of water in
23 of the pail = 14000 cm
3 Volume of the pail
= 14000 ÷
23 = 14000 x
32 = 21000 cm
3 (b)
Volume of the container
= 70 x 50 x 50
= 175000 cm
3 Number of pails to fill the container
= 175000 ÷ 21000
= 8 r 7000
Minimum number of pails to fill the container
= 8 + 1
= 9
Answer(s): (a) 21000 cm
3; (b) 9