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Q.

The perimeter of one face of a cube is 24cm. Find the volume of the cube (in ${cm}^{3}$ )

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a

216

b

220

c

221

d

230

answer is A.

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Detailed Solution

Each face of a cube is a square.
Let the side of the square face = a cm
Perimeter of the square = 4a = 24cm or, a= 6cm
Volume of a cube of edge a =

a^{3}

So, the volume of the cube of edge a = 6cm is =

6^{3}

= 216

{cm}^{3}

Hence 1 is the correct answer.

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The perimeter of one face of a cube is 24cm. Find the volume of the cube (in cm3 )