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 7 : 6. 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 45 x 9
= 28350 cm
3 7 u = 28350 cm
3 1 u = 28350 ÷ 7 = 4050 cm
3 6 u = 6 x 4050 = 24300 cm
3 Volume of water in
57 of the pail = 24300 cm
3 Volume of the pail
= 24300 ÷
57 = 24300 x
75 = 34020 cm
3 (b)
Volume of the container
= 70 x 45 x 35
= 110250 cm
3 Number of pails to fill the container
= 110250 ÷ 34020
= 3 r 8190
Minimum number of pails to fill the container
= 3 + 1
= 4
Answer(s): (a) 34020 cm
3; (b) 4