# The volume of a cube is 343 find its surface area.

August 29, 2021 | education

| To find the area of a cube, we must first know the formula for calculating the area. All the edges of the cube are equal, and the surface area of the cube is equal to the sum of the areas of its six faces, i.e. area of a square with side H times six. The surface area of a cube is:

S = 6 * H ^ 2;

To determine the area, we need to find H – the height of the edge of the cube. Since we know the volume of the cube, it will be easy to calculate H. Because the volume of a cube is equal to the cube of its edge:

V = H ^ 3;

H = cube root of volume = cube root of 343 = 7.

Now that H is known, we find the area of the cube using the formula above.

S = 6 * 7 ^ 2 = 6 * 49 = 294.

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