An open tank of depth 20 cm has a horizontal base of length 45 cm and breadth 35 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
= 45 x 35 x 20
= 31500 cm
3 (b)
Volume of water needed so that the tank is half filled
= 31500 ÷ 2
= 15750 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
= 15750 - 728
= 15022 cm
3 Answer(s): (a) 31500 cm
3; (b) 15022 cm
3