A rectangular tank, 90 cm by 40 cm by 40 cm, is filled with water to a height of 10 cm. The ratio of the volume of water in the tank to that in a pail is 5 : 2. 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
= 90 x 40 x 10
= 36000 cm
3 5 u = 36000 cm
3 1 u = 36000 ÷ 5 = 7200 cm
3 2 u = 2 x 7200 = 14400 cm
3 Volume of water in
23 of the pail = 14400 cm
3 Volume of the pail
= 14400 ÷
23 = 14400 x
32 = 21600 cm
3 (b)
Volume of the tank
= 90 x 40 x 40
= 144000 cm
3 Number of pails to fill the tank
= 144000 ÷ 21600
= 6 r 14400
Minimum number of pails to fill the tank
= 6 + 1
= 7
Answer(s): (a) 21600 cm
3; (b) 7