A metal cube of side 5cm is hammered into a square sheet of thickness 0.2cm. The side of the sheet isChoices:- 100cm 50cm 25cm 20 cm

The volume of the metal cube is given by the formula V = a³, where a is the side length of the cube. So, the volume of the cube is 5cm * 5cm * 5cm = 125 cubic cm.

When the cube is hammered into a square sheet, the volume of the metal remains the same. The volume of the sheet is given by the formula V = a²h, where a is the side length of the sheet and h is the thickness of the sheet.

Setting the two volumes equal to each other, we have:

125cm³ = a² * 0.2cm

Solving for a, we get:

a² = 125cm³ / 0.2cm = 625cm²

Taking the square root of both sides, we find:

a = sqrt(625cm²) = 25cm

So, the side length of the square sheet is 25cm.