A rectangular container, 90 cm by 55 cm by 35 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the container to that in a pail is 5 : 6. If
34 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
= 90 x 55 x 12
= 59400 cm
3 5 u = 59400 cm
3 1 u = 59400 ÷ 5 = 11880 cm
3 6 u = 6 x 11880 = 71280 cm
3 Volume of water in
34 of the pail = 71280 cm
3 Volume of the pail
= 71280 ÷
34 = 71280 x
43 = 95040 cm
3 (b)
Volume of the container
= 90 x 55 x 35
= 173250 cm
3 Number of pails to fill the container
= 173250 ÷ 95040
= 1 r 78210
Minimum number of pails to fill the container
= 1 + 1
= 2
Answer(s): (a) 95040 cm
3; (b) 2