An open tank of depth 30 cm has a horizontal base of length 40 cm and breadth 35 cm. Two wooden cubes, of side 2 cm and 5 cm respectively, rest on the base of the tank.
- Find the capacity of the tank.
- How much water must be poured into the tank so that the tank is half filled?
(a)
Capacity of the tank
= 40 x 35 x 30
= 42000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 42000 ÷ 2
= 21000 cm
3 Volume of 2-cm cube
= 2 x 2 x 2
= 8 cm
3 Volume of 5-cm cube
= 5 x 5 x 5
= 125 cm
3 Total volume of the 2 cubes
= 8 + 125
= 133 cm
3
Amount of water to be poured into the tank so that it is half filled
= 21000 - 133
= 20867 cm
3 Answer(s): (a) 42000 cm
3; (b) 20867 cm
3