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Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will he need?

A square pyramid with a base of 4 meters by 4 meters and triangular side heights of 3 meters.

16 meters squared
24 meters squared
36 meters squared
40 meters squared
ITS NOT 24

Respuesta :

oladayoademosu

The amount of fabric Henri will need is 40 meters squared

The amount of fabric Henri will require is the surface area of the square pyramid.

What is the surface area of the square spyramid?

The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides

Area of square base

The area of the square base is A' = L² where L = length of base = 4 m

So, A = L²

= (4 m)²

= 16 m²

Area of triangular side

The area of the triangular side is A" = 1/2Lh where

  • L = length of base = 4 m and
  • h = height of triangle = 3 m

So, A" = 1/2Lh

= 1/2 × 4 m × 3 m

= 1/2 × 12 m²

= 6 m²

Since there are 4 triangular sides, the area of the sides of the pyramid is

4A" = 4 × 6 m²

= 24 m²

Amount of fabric Henri will need

Since the amount of fabric Henri will need is the surface area of the square pyramid,

So, The surface area of the square pyramid, A = A' + 4A"

= 16 m² + 24 m²

= 40 m²

So, the amount of fabric Henri will need is 40 meters squared

Learn more about surface area of square pyramid here:

https://brainly.com/question/22744289

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