What is the surface area of a cube?
- The area of each face of the cube is found by squaring the length of the side.
- The surface area of a cube is a measure of the total area that the surface of the cube occupies.
- Thus to get the total surface area of the cube, find the product of the area of one face and the total number of faces.
- A cube has 6 faces and the area of one face of the cube with the sidelength 'a' is [tex]6a^{2}[/tex].
In the given question,
The edge length of the cube is 6 inches
Therefore, the surface area is;
[tex]6a^{2}=6\times6^{2}\\=6\times36\\=216 in^{2}[/tex]
If the edge length of the cube is doubled,
Then, the new edge length is 6*2=12inches
Therefore, the new surface area is;
[tex]6a^{2}=6\times12^{2}\\=6\times144\\=864 in^{2}[/tex]
Therefore, the change in the surface area is,
864/216 = 4
That is, the new surface area is four times of the old surface area.
Hence, option (B) is correct.
Learn more about surface area at https://brainly.com/question/16519513
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