Question

analyze the surface area of a three - dimensional object is the sum of the area of the faces. if ( ell ) represents the length of the side of a cube, write a formula for the surface area ( s ) of the cube.

Explanation:

Step1: Find the area of one face

A cube's face is a square. The area formula of a square is \(A = \ell\times\ell=\ell^{2}\).

Step2: Calculate the surface area

A cube has 6 faces. So \(S = 6\times\) (area of one face). Substitute the area of one face (\(\ell^{2}\)) into the formula, we get \(S = 6\ell^{2}\).

Answer:

\(S = 6\ell^{2}\)