In the prism, the measures of each side are:
length = 8 cm
width = 6 cm
height = 7 cm
The formula in getting the surface area of a rectangular prism is:
[tex]SA=2(lw+lh+wh)[/tex]
Since we already have the values of length, width, and height, let's plug them into the formula above.
[tex]\begin{gathered} SA=2lw+2lh+2wh \\ SA=2(8cm\times6cm)+2(8cm\times7cm)+2(6cm\times7cm) \end{gathered}[/tex]
Then, solve.
[tex]\begin{gathered} SA=2(48cm^2)+2(56cm^2)+2(42cm^2) \\ SA=96cm^2+112cm^2+84cm^2 \\ SA=292cm^2 \end{gathered}[/tex]
Therefore, the surface area of the prism is 292 square centimeters.
