Answer:
S.A. = 225 ft²
Step-by-step explanation:
We have a rectangle with dimensions 12 ft × 6 ft in the base of the pyramid and two pairs of triangles with a base of 12 ft and 6 ft and heights of 8 ft and 9.5 ft.
The area of a base:
[tex]A_B=(12)(6)=72\ ft^2[/tex]
The areas of the triangles:
[tex]A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2[/tex]
The Surface Area:
[tex]S.A.=A_B+2A_1+2A_2[/tex]
Substitute:
[tex]S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2[/tex]
