Given the length (l), the width (w), and the height (h) of the rectangular prism:
[tex]\begin{gathered} l=8in \\ w=8in \\ h=14in \end{gathered}[/tex]
You need to use this formula for calculating the surface area of a rectangular prism, in order to find the surface area of the box:
[tex]SA=2wl+2hl+2hw[/tex]
Where "l" is the length, "w" is the width, and "h" is the height of the rectangular prism.
Therefore, when you substitute the values into the formula and evaluate, you get:
[tex]\begin{gathered} SA=(2)(8in)(8in)+(2)(14in)(8in)+(2)(14in)(8in) \\ \\ SA=128in^2+224in^2+224in^2 \end{gathered}[/tex][tex]SA=576in^2[/tex]
Hence, the answer is:
[tex]SA=576in^2[/tex]
