The Pyramid of Menkaure is a square pyramid located in Giza. The pyramid has a height of about 215 feet, a slant height of about 274 feet, and a base side length of about 339 feet. After a windstorm, an architect was tasked with inspecting the outer surfaces of the pyramid for damage. How many square feet does the architect need to inspect? Type the correct answer in the box. Use numerals instead of words. The architect will need to inspect square feet

The square feet the architect must inspect represents the lateral surface area of the square pyramid. Since the base of the pyramid is a regular polygon, a square, then the given formula can be used. Let P be the perimeter of the base and l be the slant height of 274 feet.

Find the perimeter of the base by multiplying the length of a side, 339 feet, by the number of sides of the base, 4.

So, the architect will need to inspect 185,772 square feet of the pyram

keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-08-04T07:30:37+02:00

The total of 109327.5 feet² of the square area the architect needs to inspect.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

A pyramid consists of 3 equal triangles given that the vertical height of a triangle is 215 feet, and the base is 339 feet.

Area of one triangle = (1/2) × base × height.

⇒ (1/2) × 339 × 215

⇒ 36442.5

Since in a pyramid, there are a total 3 triangles so

Total surface area = 3 × surface area of 1 triangle.

Total surface area = 3 × 36442.5 = 109327.5 hence correct answer will be 36442.5.

For more about triangles,

https://brainly.com/question/2773823

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