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

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.