A rectangular tank, 70 cm by 55 cm by 45 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 pail is 7 : 4. If
23 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the tank.
(a)
Volume of water in the tank
= 70 x 55 x 10
= 38500 cm
3 7 u = 38500 cm
3 1 u = 38500 ÷ 7 = 5500 cm
3 4 u = 4 x 5500 = 22000 cm
3 Volume of water in
23 of the pail = 22000 cm
3 Volume of the pail
= 22000 ÷
23 = 22000 x
32 = 33000 cm
3 (b)
Volume of the tank
= 70 x 55 x 45
= 173250 cm
3 Number of pails to fill the tank
= 173250 ÷ 33000
= 5 r 8250
Minimum number of pails to fill the tank
= 5 + 1
= 6
Answer(s): (a) 33000 cm
3; (b) 6