A rectangular tank, 70 cm by 50 cm by 40 cm, is filled with water to a height of 8 cm. The ratio of the volume of water in the tank to that in a pail is 7 : 6. 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
= 70 x 50 x 8
= 28000 cm
3 7 u = 28000 cm
3 1 u = 28000 ÷ 7 = 4000 cm
3 6 u = 6 x 4000 = 24000 cm
3 Volume of water in
23 of the pail = 24000 cm
3 Volume of the pail
= 24000 ÷
23 = 24000 x
32 = 36000 cm
3 (b)
Volume of the tank
= 70 x 50 x 40
= 140000 cm
3 Number of pails to fill the tank
= 140000 ÷ 36000
= 3 r 32000
Minimum number of pails to fill the tank
= 3 + 1
= 4
Answer(s): (a) 36000 cm
3; (b) 4