An open tank of depth 15 cm has a horizontal base of length 35 cm and breadth 20 cm. Two wooden cubes, of side 3 cm and 5 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 20 x 15
= 10500 cm
3 (b)
Volume of water needed so that the tank is half filled
= 10500 ÷ 2
= 5250 cm
3 Volume of 3-cm cube
= 3 x 3 x 3
= 27 cm
3 Volume of 5-cm cube
= 5 x 5 x 5
= 125 cm
3 Total volume of the 2 cubes
= 27 + 125
= 152 cm
3
Amount of water to be poured into the tank so that it is half filled
= 5250 - 152
= 5098 cm
3 Answer(s): (a) 10500 cm
3; (b) 5098 cm
3