What is the surface area of the cube below? answer in simplest radical form only

one surface is 576 cm^3

I assumed you mean one surface is 576 cm^2. We have 6 equal surfaces.

As = 6 * 576cm^2 = 3456 cm^2.

To find the surface area of a cube, we need to know the length of one side. This information is missing from the question. However, we are given that one face of the cube has an area of 576 cm^3.

To find the length of one side, we can calculate the square root of the given area.

√576 = 24

Therefore, the length of one side of the cube is 24 cm.

To find the surface area, we need to calculate the area of all six faces of the cube and sum them up.

Since all faces of a cube are equal, each face has an area of 24 * 24 = 576 cm^2.

So, the total surface area of the cube is 576 * 6 = 3456 cm^2.

Thus, the surface area of the cube is 3456 cm^2.

To find the surface area of a cube, we need to know the length of one side. However, in this case, you have provided the volume of one surface instead.

Since the volume of one surface of the cube is given as 576 cm^3, we can find the length of one side of the cube using the formula for the volume of a cube:

Volume of a cube = (side length)^3

We can rewrite the formula as:

576 cm^3 = (side length)^3

To find the side length, we can take the cube root of both sides of the equation:

(cube root) 576 cm^3 = cube root(side length)^3

Simplifying further, we have:

(side length) = cube root(576 cm^3)

Now, we can find the value of the cube root of 576 using a calculator or by using a simplified radical form. Simplifying the radical form means breaking 576 down into its prime factors:

576 = 2^6 * 3^2

Taking the cube root, we have:

(cube root) 576 cm^3 = (cube root) (2^6 * 3^2)

Applying the properties of radicals, we can separate the cube root into individual cube roots:

(cube root) 576 cm^3 = (cube root) (2^6) * (cube root) (3^2)

Simplifying further, we have:

(cube root) 576 cm^3 = (2^2) * (3)

(cube root) 576 cm^3 = 2 * 3

(cube root) 576 cm^3 = 6

So, the side length of the cube is 6 cm.

To find the surface area of the cube, we use the formula:

Surface area of a cube = 6 * (side length)^2

Plugging in the value of the side length we found earlier (6 cm), we have:

Surface area of the cube = 6 * (6 cm)^2

Solving this, we get:

Surface area of the cube = 6 * 36 cm^2

Surface area of the cube = 216 cm^2

Therefore, the surface area of the given cube is 216 cm^2.