A rectangular tank, 90 cm by 55 cm by 40 cm, is filled with water to a height of 11 cm. The ratio of the volume of water in the tank to that in a barrel is 5 : 2. If
67 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 55 x 11
= 54450 cm
3 5 u = 54450 cm
3 1 u = 54450 ÷ 5 = 10890 cm
3 2 u = 2 x 10890 = 21780 cm
3 Volume of water in
67 of the barrel = 21780 cm
3 Volume of the barrel
= 21780 ÷
67 = 21780 x
76 = 25410 cm
3 (b)
Volume of the tank
= 90 x 55 x 40
= 198000 cm
3 Number of barrels to fill the tank
= 198000 ÷ 25410
= 7 r 20130
Minimum number of barrels to fill the tank
= 7 + 1
= 8
Answer(s): (a) 25410 cm
3; (b) 8