An open tank of depth 15 cm has a horizontal base of length 45 cm and breadth 30 cm. Two wooden cubes, of side 6 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
= 45 x 30 x 15
= 20250 cm
3 (b)
Volume of water needed so that the tank is half filled
= 20250 ÷ 2
= 10125 cm
3 Volume of 6-cm cube
= 6 x 6 x 6
= 216 cm
3 Volume of 7-cm cube
= 7 x 7 x 7
= 343 cm
3 Total volume of the 2 cubes
= 216 + 343
= 559 cm
3
Amount of water to be poured into the tank so that it is half filled
= 10125 - 559
= 9566 cm
3 Answer(s): (a) 20250 cm
3; (b) 9566 cm
3