An open tank of depth 25 cm has a horizontal base of length 35 cm and breadth 30 cm. Two wooden cubes, of side 5 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
= 35 x 30 x 25
= 26250 cm
3 (b)
Volume of water needed so that the tank is half filled
= 26250 ÷ 2
= 13125 cm
3 Volume of 5-cm cube
= 5 x 5 x 5
= 125 cm
3 Volume of 8-cm cube
= 8 x 8 x 8
= 512 cm
3 Total volume of the 2 cubes
= 125 + 512
= 637 cm
3
Amount of water to be poured into the tank so that it is half filled
= 13125 - 637
= 12488 cm
3 Answer(s): (a) 26250 cm
3; (b) 12488 cm
3