An open tank of depth 25 cm has a horizontal base of length 45 cm and breadth 35 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
= 45 x 35 x 25
= 39375 cm
3 (b)
Volume of water needed so that the tank is half filled
= 39375 ÷ 2
= 19687.5 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
= 19687.5 - 854
= 18833.5 cm
3 Answer(s): (a) 39375 cm
3; (b) 18833.5 cm
3