The volume of a cube is 343cm3343cm3. Then, the surface is ____.

# The volume of a cube is 343cm3343cm3. Then, the surface is ____.

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### Solution:

We know that a cuboid is a three dimensional object with six rectangular faces joined by 8 vertices. It has three different types of sides called length, breadth and height denoted   and   .
A cube is cuboid with 6 square faces with all sides of equal length. It means   volume of a cuboid is  . So we calculate the volume of a cube with denoting as   .

The surface area of the cube is the sum of areas of 6 square faces. The area of 1 square face is  .

We are given the question that the volume of a cube is   . Let us denote its volume as    and length of the side as   . So we have

Hence, the Surface is  .

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