An open tank of depth 15 cm has a horizontal base of length 45 cm and breadth 25 cm. Two wooden cubes, of side 3 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 25 x 15
= 16875 cm
3 (b)
Volume of water needed so that the tank is half filled
= 16875 ÷ 2
= 8437.5 cm
3 Volume of 3-cm cube
= 3 x 3 x 3
= 27 cm
3 Volume of 7-cm cube
= 7 x 7 x 7
= 343 cm
3 Total volume of the 2 cubes
= 27 + 343
= 370 cm
3
Amount of water to be poured into the tank so that it is half filled
= 8437.5 - 370
= 8067.5 cm
3 Answer(s): (a) 16875 cm
3; (b) 8067.5 cm
3