A rectangular tank, 90 cm by 45 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 barrel is 9 : 4. If
34 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 45 x 7
= 28350 cm
3 9 u = 28350 cm
3 1 u = 28350 ÷ 9 = 3150 cm
3 4 u = 4 x 3150 = 12600 cm
3 Volume of water in
34 of the barrel = 12600 cm
3 Volume of the barrel
= 12600 ÷
34 = 12600 x
43 = 16800 cm
3 (b)
Volume of the tank
= 90 x 45 x 50
= 202500 cm
3 Number of barrels to fill the tank
= 202500 ÷ 16800
= 12 r 900
Minimum number of barrels to fill the tank
= 12 + 1
= 13
Answer(s): (a) 16800 cm
3; (b) 13