surface area of the net pyramid is 125 in²
Explanation:
Surface area of a net pyamid is calculated as:
[tex]S\mathrm{}A\text{ = area of base + }\frac{1}{2}perimeter\text{ of base }\times slant\text{ height}[/tex]
side of the base = 5 in
Area of the base = area of square
Area of the base = (side of the base)² = 5²
Area of base = 25 in²
Perimeter of base = perimeter of square
Perimeter of base = 4(side of the base) = 4(5)
Perimeter of base = 20 in
slant height = 10 in
Inserting the values into the formula for surface area:
[tex]\begin{gathered} S.A\text{ = }25\text{ + }\frac{1}{2}(20)(10) \\ S.A\text{ = }25\text{ + 100} \\ S\mathrm{}A\text{ = 125 in}^{2} \end{gathered}[/tex]
