Question

Timed!!

Answer 1

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:

$A_B=(12)(6)=72\ ft^2$

The areas of the triangles:

$A_1=\dfrac{(12)(8)}{2}=(6)(8)=48\ ft^2\\\\A_2=\dfrac{(6)(9.5)}{2}=(3)(9.5)=28.5\ ft^2$

The Surface Area:

$S.A.=A_B+2A_1+2A_2$

Substitute:

$S.A.=72+2(48)+2(28.5)=72+96+57=225\ ft^2$