An open tank of depth 20 cm has a horizontal base of length 35 cm and breadth 25 cm. Two wooden cubes, of side 5 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
= 35 x 25 x 20
= 17500 cm
3 (b)
Volume of water needed so that the tank is half filled
= 17500 ÷ 2
= 8750 cm
3 Volume of 5-cm cube
= 5 x 5 x 5
= 125 cm
3 Volume of 9-cm cube
= 9 x 9 x 9
= 729 cm
3 Total volume of the 2 cubes
= 125 + 729
= 854 cm
3
Amount of water to be poured into the tank so that it is half filled
= 8750 - 854
= 7896 cm
3 Answer(s): (a) 17500 cm
3; (b) 7896 cm
3