A rectangular tank, 90 cm by 40 cm by 50 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 barrel is 9 : 2. If
25 of the barrel is filled with water, find
- the volume of the barrel.
- the minimum number of such barrels to fill the tank.
(a)
Volume of water in the tank
= 90 x 40 x 10
= 36000 cm
3 9 u = 36000 cm
3 1 u = 36000 ÷ 9 = 4000 cm
3 2 u = 2 x 4000 = 8000 cm
3 Volume of water in
25 of the barrel = 8000 cm
3 Volume of the barrel
= 8000 ÷
25 = 8000 x
52 = 20000 cm
3 (b)
Volume of the tank
= 90 x 40 x 50
= 180000 cm
3 Number of barrels to fill the tank
= 180000 ÷ 20000
= 9 r 0
Minimum number of barrels to fill the tank
= 9 + 1
= 10
Answer(s): (a) 20000 cm
3; (b) 10