An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 25 cm. Two wooden cubes, of side 8 cm and 9 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 25 x 20
= 20000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 20000 ÷ 2
= 10000 cm
3 Volume of 8-cm cube
= 8 x 8 x 8
= 512 cm
3 Volume of 9-cm cube
= 9 x 9 x 9
= 729 cm
3 Total volume of the 2 cubes
= 512 + 729
= 1241 cm
3
Amount of water to be poured into the tank so that it is half filled
= 10000 - 1241
= 8759 cm
3 Answer(s): (a) 20000 cm
3; (b) 8759 cm
3