A rectangular tank, 90 cm by 45 cm by 35 cm, is filled with water to a height of 12 cm. The ratio of the volume of water in the tank to that in a barrel is 5 : 4. If
57 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 12
= 48600 cm
3 5 u = 48600 cm
3 1 u = 48600 ÷ 5 = 9720 cm
3 4 u = 4 x 9720 = 38880 cm
3 Volume of water in
57 of the barrel = 38880 cm
3 Volume of the barrel
= 38880 ÷
57 = 38880 x
75 = 54432 cm
3 (b)
Volume of the tank
= 90 x 45 x 35
= 141750 cm
3 Number of barrels to fill the tank
= 141750 ÷ 54432
= 2 r 32886
Minimum number of barrels to fill the tank
= 2 + 1
= 3
Answer(s): (a) 54432 cm
3; (b) 3