A rectangular tank, 80 cm by 55 cm by 50 cm, is filled with water to a height of 7 cm. The ratio of the volume of water in the tank 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 tank.
(a)
Volume of water in the tank
= 80 x 55 x 7
= 30800 cm
3 11 u = 30800 cm
3 1 u = 30800 ÷ 11 = 2800 cm
3 4 u = 4 x 2800 = 11200 cm
3 Volume of water in
23 of the pail = 11200 cm
3 Volume of the pail
= 11200 ÷
23 = 11200 x
32 = 16800 cm
3 (b)
Volume of the tank
= 80 x 55 x 50
= 220000 cm
3 Number of pails to fill the tank
= 220000 ÷ 16800
= 13 r 1600
Minimum number of pails to fill the tank
= 13 + 1
= 14
Answer(s): (a) 16800 cm
3; (b) 14