How do we calculate the surface area of a cube if we know the volume is 343?
Given that the volume of the cube is 343
Let x be the length of the side of the cube.
Then we know that V = x^3 = 343
==> x = 7
Now let us calculate the surface are.
The surface area of the cube = area of one surface * 6
\==> The area of one of the surface = x^2 = 7^2 = 49
==> Then the surface area = 49* 6 = 294.
Then, the surface area of the cube is 294 square units.
The volume of a cube with sides of length L is given by L^3.
We have the volume of the cube as 343.
L^3 = 343
=> L^3 = 7^3
=> L = 7
The surface area of a cube of length L is 6*L^2. As L = 7, the surface area is 6*7^2 = 6*49 = 294 square units.
The required surface area is 294 square units.