Question

A tall rectangular vessel is half-filled with water. The Dimensions of its base are 50 cm×30 cm. A heavy metal cube of Edge 10 cm is dropped into the vessel. Find the rise in the water level in the vessel.​

Answer 1

Answer:

The rise in the water level in the vessel is 1000 cm³.

Step-by-step explanation:

A tall rectangular vessel is half-filled with water. The Dimensions of its base are 50 cm×30 cm. A heavy metal cube of Edge 10 cm is dropped into the vessel. The question is to find the rise in water level in the vessel.

To find the rise in water level, we just need to find the volume of the metal cube. All the sides of a cube are the same. So the volume of a cube can be found by multiplying the edge length three times. The formula to calculate the volume of a cube is given as,

                 $V=a^{3}$

Where 'a' is the edge length of the cube. Here a=10 cm. Then the volume of the cube is,

              $V=10^{3}=1000$ cm³

Hence the rise in the water level in the vessel is 1000 cm³.