An open tank of depth 20 cm has a horizontal base of length 40 cm and breadth 30 cm. Two wooden cubes, of side 3 cm and 7 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 3-cm cube
= 3 x 3 x 3
= 27 cm
3 Volume of 7-cm cube
= 7 x 7 x 7
= 343 cm
3 Total volume of the 2 cubes
= 27 + 343
= 370 cm
3
Amount of water to be poured into the tank so that it is half filled
= 12000 - 370
= 11630 cm
3 Answer(s): (a) 24000 cm
3; (b) 11630 cm
3