Answer:
B. 86.7 cm²
Step-by-step explanation:
We have the square and four triangles.
The formula of an area of a squre:
[tex]A_s=a^2[/tex]
We have a = 5.1 cm. Substitute:
[tex]A_s=(5.1)^2=26.01\ cm^2[/tex]
The formula of an area of a triangle:
[tex]A_t=\dfrac{ah}{2}[/tex]
We have a = 5.1 cm and h = 5.95 cm. Substitute:
[tex]A_t=\dfrac{(5.1)(5.95)}{2}=\dfrac{30.345}{2}=15.1725\ cm^2[/tex]
The Surface Area of the pyramid:
[tex]S.A.=A_s+4A_t[/tex]
Substitute:
[tex]S.A.=26.01+4(15.1725)=26.01+60.69=86.7\ cm^2[/tex]
