An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 30 cm. Two wooden cubes, of side 6 cm and 8 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 20
= 24000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 24000 ÷ 2
= 12000 cm
3 Volume of 6-cm cube
= 6 x 6 x 6
= 216 cm
3 Volume of 8-cm cube
= 8 x 8 x 8
= 512 cm
3 Total volume of the 2 cubes
= 216 + 512
= 728 cm
3
Amount of water to be poured into the tank so that it is half filled
= 12000 - 728
= 11272 cm
3 Answer(s): (a) 24000 cm
3; (b) 11272 cm
3