An open tank of depth 30 cm has a horizontal base of length 40 cm and breadth 35 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
= 40 x 35 x 30
= 42000 cm
3 (b)
Volume of water needed so that the tank is half filled
= 42000 ÷ 2
= 21000 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
= 21000 - 637
= 20363 cm
3 Answer(s): (a) 42000 cm
3; (b) 20363 cm
3