Respuesta :

r3t40

[tex]

S=14\times14+4(\frac{14}{2}\times18) \\

S=196+4(7\times18) \\

S=196+4\times126 \\

S=196+504 \\

S=\boxed{700}

[/tex]

Answer:

B. [tex]700\text{ inches}^2[/tex].

Step-by-step explanation:

We have been given an image of a pyramid. We are asked to find the total surface area of the given pyramid.

[tex]\text{Surface area of pyramid}=A+\frac{1}{2}*ps[/tex], where,

A = Area of base of pyramid.

p = Perimeter of base,

s = Slant height,

Upon substituting our given values, we will get:

[tex]\text{Surface area of pyramid}=14^2+\frac{1}{2}*4*14*18[/tex]

[tex]\text{Surface area of pyramid}=196+2*14*18[/tex]

[tex]\text{Surface area of pyramid}=196+504[/tex]

[tex]\text{Surface area of pyramid}=700[/tex]

Therefore, the total surface area of given pyramid is 700 square inches and option B is the correct choice.