Question

A cube has an edge length of 2x. Write an expression for the total area of the cube.

Answer 1

The correct answer is,

expression for the total area of the cube = 24x²

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

Answer 2

`T.S.A=24x^2`

Explanation:

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

`T.S.A=6l^2`

If the cube has an edge length of
`2x` then,
`l=2x`.

When we put this value into the formula we obtain the Total Surface Area in terms of
`x` to be

`T.S.A=6(2x)^2`

This simplifies to;

`T.S.A=6* 4x^2`

This finally gives us

`T.S.A=24x^2`