Respuesta :

Answer:

[tex]T.S.A=24x^2[/tex]

Step-by-step explanation:

The Total Surface Area of a cube is given by the formula;

[tex]T.S.A=6l^2[/tex]

If the cube has an edge length of [tex]2x[/tex] then, [tex]l=2x[/tex].

When we put this value into the formula we obtain the Total Surface Area in terms of [tex]x[/tex] to be

[tex]T.S.A=6(2x)^2[/tex]

This simplifies to;

[tex]T.S.A=6\times 4x^2[/tex]

This finally gives us

[tex]T.S.A=24x^2[/tex]

Answer:

The correct answer is,

expression for the total area of the cube = 24x²

Step-by-step explanation:

Formula:-

Area of cube = 6a²

Where a is the side length of cube.

To find the area of cube

Here edge length, a = 2x

Total area =  6a² = 6 * (2x)²

 = 6 * 4 * x²

 = 24x²

Therefore the area of given cube with edge length  2x is 24x²