Please help me answer this question! :D It will be greatly appreciatedQuestion:Find the total surface area of the square pyramid.A.80 IN2B.105 IN2C.185 IN2D.25 IN2

Please help me answer this question D It will be greatly appreciatedQuestionFind the total surface area of the square pyramidA80 IN2B105 IN2C185 IN2D25 IN2 class=

Respuesta :

The surface area of the pyramid is the sum of the areas of the 4 triangles and the square

The area of the square is found this way

[tex]\begin{gathered} As=l^2 \\ As=5^2=25 \end{gathered}[/tex]

The area of each triangle is found this way

[tex]\begin{gathered} At=\frac{b\cdot h}{2} \\ At=\frac{5\cdot8}{2} \\ At=20 \end{gathered}[/tex]

The total surface area is

[tex]\text{Apyr}=20+20+20+20+25=105[/tex]

The area is 105 in^2. The correct option is B

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