An open tank of depth 20 cm has a horizontal base of length 45 cm and breadth 25 cm. Two wooden cubes, of side 3 cm and 4 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
= 45 x 25 x 20
= 22500 cm
3 (b)
Volume of water needed so that the tank is half filled
= 22500 ÷ 2
= 11250 cm
3 Volume of 3-cm cube
= 3 x 3 x 3
= 27 cm
3 Volume of 4-cm cube
= 4 x 4 x 4
= 64 cm
3 Total volume of the 2 cubes
= 27 + 64
= 91 cm
3
Amount of water to be poured into the tank so that it is half filled
= 11250 - 91
= 11159 cm
3 Answer(s): (a) 22500 cm
3; (b) 11159 cm
3