contestada

The main entrance to the Louvre art museum is shaped like a pyramid. The
pyramid is 71 feet tall and has a slant height of approximately 91 feet. Each side of
the square base measures 115 feet. Which of the following is closest to the lateral
surface area of the pyramid

Respuesta :

The Lateral Surface Area of Square based pyramid whose height= 71 feet Slant height= 90 feet and Base= 115 feet is 20700  [tex]ft^{2}[/tex] .

The Lateral Surface Area is 20700 [tex]ft^{2}[/tex]

What Lateral Surface Area of Square based pyramid?

The word "lateral" means "belonging to the side". So the lateral area of a square pyramid is the sum of the areas of its side faces. This is also known as the lateral surface area (LSA) of the square pyramid. We know that a square pyramid has:

  • a base which is a square.
  • 4 side faces, each of which is a triangle.

It is given that,

  • height, h= 71 feet
  • Slant height, l= 90 feet
  • Base, b= 115 feet

Lateral Surface Area of square pyramid is,

LSA= [tex]\frac{1}{2} * p * l[/tex]

Where p= perimeter of base

            l=  slant height

Perimeter of base = 4 x side

                            = 4 x 115

                            = 460 feet

Now, Lateral Surface Area of square pyramid is,

= [tex]\frac{1}{2} * 460* 90[/tex]

= 460 x 45

= 20700 [tex]ft^{2}[/tex]

Hence the Lateral Surface Area of square pyramid is 20700 [tex]ft^{2}[/tex]

Learn more about Lateral Surface Area of Pyramid here:

https://brainly.com/question/15656576

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