Question

What is the surface area of the regular pyramid below

Answer 1

Answer: it C. 864 units²

Step-by-step explanation: I just did it

Answer 2

Answer:

C. 864 units²

Step-by-step explanation:

We have the square in the base and four triangles on the lateral surface.

The formula of an area of a square:

$A_{\square}=a^2$

a - side lenght

We have a = 16. Substitute:

$A_{\square}=16^2=256$

The formula of an area of a triangle:

$A_{\triangle}=\dfrac{bh}{2}$

b - base

h - height

We have b = 16 and h = 19. Substitute:

$A_{\triangle}=\dfrac{(16)(19)}{2}=152$

The Surface Area:

$S.A.=A_{\square}+4_{\triangle}$

Substitute:

$S.A.=256+4(152)=256+608=864$