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