An open tank of depth 30 cm has a horizontal base of length 40 cm and breadth 35 cm. Two wooden cubes, of side 4 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 35 x 30
= 42000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 42000 ÷ 2
= 21000 cm
3 Volume of 4-cm cube
= 4 x 4 x 4
= 64 cm
3 Volume of 7-cm cube
= 7 x 7 x 7
= 343 cm
3 Total volume of the 2 cubes
= 64 + 343
= 407 cm
3
Amount of water to be poured into the tank so that it is half filled
= 21000 - 407
= 20593 cm
3 Answer(s): (a) 42000 cm
3; (b) 20593 cm
3