A rectangular tank, 70 cm by 40 cm by 50 cm, is filled with water to a height of 6 cm. The ratio of the volume of water in the tank to that in a barrel is 5 : 6. 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
= 70 x 40 x 6
= 16800 cm
3 5 u = 16800 cm
3 1 u = 16800 ÷ 5 = 3360 cm
3 6 u = 6 x 3360 = 20160 cm
3 Volume of water in
25 of the barrel = 20160 cm
3 Volume of the barrel
= 20160 ÷
25 = 20160 x
52 = 50400 cm
3 (b)
Volume of the tank
= 70 x 40 x 50
= 140000 cm
3 Number of barrels to fill the tank
= 140000 ÷ 50400
= 2 r 39200
Minimum number of barrels to fill the tank
= 2 + 1
= 3
Answer(s): (a) 50400 cm
3; (b) 3