Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 meters. Net of the same rectangular prism with the same dimensionsn labeled. What is the surface area of this rectangular prism?

There will be three pairs of matching sides: one pair 5x7, one pair 5x12 and one pair 12x7. We can compute the are of each side (in pairs) and then add up the total: [latex]A_{surf}=2\times(l \times w)+2\times(l \times h)+2\times(h \times w)[/latex] [latex]A_{surf}=2\times(5\times7)+2\times(5\times12)+2\times(12\times7)[/latex] [latex]A_{surf}=2\times35+2\times60+2\times84[/latex] [latex]A_{surf}=70+120+168[/latex] [latex]A_{surf}=358[/latex] [latex]A_{surf}=358m^{2}[/latex]