Calculate the Surface Area of a Cube: Express Your Answer in Terms of X

Question

What is the surface area of the cube below in terms of X?

XXX

Video Solution

Solution Steps

00:00 Express the surface area of the cube
00:03 Every cube has 6 faces
00:17 Therefore multiply the area of one face by 6 to find the surface area
00:22 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll determine the surface area using the formula for a cube:

  • Step 1: Identify the given information — Each side of the cube is XX.
  • Step 2: Recall the surface area formula — For a cube, it is 6×(side length)26 \times (\text{side length})^2.
  • Step 3: Substitute the side length XX into the formula.

Now, let's proceed with the solution:
Step 1: The cube has each side =X= X.
Step 2: The surface area formula for a cube is given by 6×(side length)26 \times (\text{side length})^2.
Step 3: Substituting XX for the side length, we find the surface area is 6×X26 \times X^2.

Therefore, the surface area of the cube in terms of XX is 6X2\mathbf{6X^2}.

Answer

6x2 6x^2