A solid cube of side 15 cm is dropped into a rectangular container of length 25 cm breadth 20 cm and...........

Quantitative Aptitude (MTS) Mensuration 3D

A solid cube of side 15 cm is dropped into a rectangular container of length 25 cm, breadth 20 cm and height 18 cm, which is

partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is:

7.75

5.25

8.75

6.75

- A cube with a side length of 15 cm means it has a volume of 15 x 15 x 15 = 3375 cubic cm.

- The container has a base area of 25 cm x 20 cm = 500 square cm.

- When the cube is completely submerged, it displaces an amount of water equal to its volume.

- This displacement causes the water level to rise. The rise in water level is the displaced volume divided by the base area.

- Rise in water level = 3375 cubic cm / 500 square cm = 6.75 cm.

- Hence, the correct option is: Option 4 - 6.75 cm.

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