Question

What is the surface area of this square pyramid

Answer 1

Answer:

33 ft²

Step-by-step explanation:

We have

the square with side s = 3ft

four triangles with base b = 3ft and height h = 4ft

The formula of an area of a square:

$A=s^2$

The formula of an area of a triangle:

$A=\dfrac{bh}{2}$

Substitute:

$A_{\square}=3^2=9\ ft^2$

$A_{\triangle}=\dfrac{(3)(4)}{2}=\dfrac{12}{2}=6\ ft^2$

The Surface Area:

$S.A.=A_{\square}+4A_{\triangle}\\\\S.A.=9+(4)(6)=9+24=33\ ft^2$