The total surface area of the cube is [tex]6x^2[/tex]
Step-by-step explanation:
Here we want to find an expression for the surface area of a cube if side x.
First of all, we notice that the cube consists of 6 equal faces; each face is a square, so the area of each face is the area of a square of side x, therefore:
[tex]A_1 = x\cdot x = x^2[/tex]
Since we have 6 faces, the total surface area of the cube will be
[tex]A=6A_1[/tex]
And therefore,
[tex]A=6x^2[/tex]
So, this is the total surface area of the cube.
Learn more about area and volume of solids:
brainly.com/question/12497249
#LearnwithBrainly
