Question

What is the surface area of the regular pyramid below

Answer 1

Answer:

B. $700\text{ inches}^2$.

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.

$\text{Surface area of pyramid}=A+\frac{1}{2}*ps$, where,

A = Area of base of pyramid.

p = Perimeter of base,

s = Slant height,

Upon substituting our given values, we will get:

$\text{Surface area of pyramid}=14^2+\frac{1}{2}*4*14*18$

$\text{Surface area of pyramid}=196+2*14*18$

$\text{Surface area of pyramid}=196+504$

$\text{Surface area of pyramid}=700$

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

Answer 2

$S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}$