An open tank of depth 20 cm has a horizontal base of length 45 cm and breadth 30 cm. Two wooden cubes, of side 5 cm and 6 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 30 x 20
= 27000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 27000 ÷ 2
= 13500 cm
3 Volume of 5-cm cube
= 5 x 5 x 5
= 125 cm
3 Volume of 6-cm cube
= 6 x 6 x 6
= 216 cm
3 Total volume of the 2 cubes
= 125 + 216
= 341 cm
3
Amount of water to be poured into the tank so that it is half filled
= 13500 - 341
= 13159 cm
3 Answer(s): (a) 27000 cm
3; (b) 13159 cm
3