An open tank of depth 15 cm has a horizontal base of length 40 cm and breadth 30 cm. Two wooden cubes, of side 2 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
= 40 x 30 x 15
= 18000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 18000 ÷ 2
= 9000 cm
3 Volume of 2-cm cube
= 2 x 2 x 2
= 8 cm
3 Volume of 4-cm cube
= 4 x 4 x 4
= 64 cm
3 Total volume of the 2 cubes
= 8 + 64
= 72 cm
3
Amount of water to be poured into the tank so that it is half filled
= 9000 - 72
= 8928 cm
3 Answer(s): (a) 18000 cm
3; (b) 8928 cm
3