Question

To find the surface area of any shape, you can follow the process described below: 1. Draw a net of the rectangular prism 2. Calculate the area of each face. 3. Add up the area of all the faces. But for many polyhedra (3-D shapes), there are formulas that can be used to find the total surface area. For instance, the formula for the surface area of a cube is: SAcube = 6s where s is the side length of the square faces. Below is the cube and the net of the cube. 3" 3 3" 3" 3" 3" 3" 3" 3"

Answer 1

The net of a rectangular prism can be drawn as,

2) The area of each face in the above prsim can be found.

3) The area of all the faces can be added to get the area of the prism.

Given, the side length of the cube, s=3.

The surface area of the cube can be found as,

$\begin{gathered} SA=6s^2 \\ SA=6\times3^2 \\ SA=6\times9 \\ SA=54 \end{gathered}$

Therefore, the surface area of the cube is 54.