Andy is building a model of a square pyramid for a class project. the side length of the square base is 11 inches and the slant height of the pyramid is 15 inches. what is the surface area of the model pyramid?

The surface area of the model pyramid is

Step-by-step explanation:

we know that

The surface area of the pyramid is equal to

where

B is the area of the base of the pyramid

LA is the lateral surface of the pyramid

Find the area of the base B

-----> is a square

Find the lateral surface area of the pyramid LA

we know that

The lateral surface area is equal to the area of its four triangular faces

Find the surface area of the pyramid

Substitute the values

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet