Respuesta :
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Measure of its each edge = [tex]\sf\red{8feet.}[/tex]
[tex]\rightarrow[/tex] Height of each lateral surface (or slant height) = [tex]\sf\red{15feet.}[/tex]
[tex]\sf\large\underline{\star To\: Find:-}[/tex]
- Surface area of the given square pyramid.
[tex]\sf\large\underline{\star Formula \:Used:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf\blue{a^2+2al}[/tex]
Where,
[tex]\sf\pink{a^2}[/tex] [tex]\sf{=\: Area \: of\: base.}[/tex]
[tex]\sf\pink{a}[/tex][tex]\sf{=\: Side \:of \:the\: base.}[/tex]
[tex]\sf\pink{l}[/tex][tex]\sf{=\: Slant \:height}[/tex]
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] Surface Area of square pyramid = [tex]\sf{a^2+2al}[/tex](putting the value of [tex]\sf{a^2}[/tex], a and l)
[tex]\rightarrow[/tex] [tex]\sf{=\: 8^2+2(8×15)}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 304feet^2}[/tex]
Therefore, surface area of the given square pyramid [tex]\sf\purple{=\: 304feet^2.}[/tex]
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Hope it helps you:)