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mezya [45]
2 years ago
9

Find the surface area of a square pyramid with side length 5 Fr and slant height 5 ft.

Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0

Given:

All sides are 5 feet in length.

To find:

The surface area of:

  1. Square (base)
  2. 4 Triangle Sides

Step-By-Step-Solution:

Step 1

Find the surface area of the square (base)

Formula:

SA=L*W

Find:

SA=5*5\\=25

<em>The surface area of the square (base) is 25ft²</em>

<em></em>

Step 2

Find the surface area of the 4 triangles

We know that to find the surface area of 1 triangle, we do this:

SA=\frac{1}2} *B*H

But to find the surface area of 4 triangle, we will have to do this:

SA=2*B*H

Find:

SA=2*5*5\\=2*25\\=50

<em>The surface area of the 4 triangles in the sides are 50ft²</em>

<em></em>

Step 3

Find the total surface area (by adding all SA's found before)

Just add! EASY!!!

25+50=75ft²

<h2>The total Surface Area of the Square Pyramid is 75ft²</h2>
Ilia_Sergeevich [38]2 years ago
6 0

Answer:

<u>75 ft²</u>

Step-by-step explanation:

Surface Area :

  • Area (4 triangles) + Area (base)
  • 4 x 1/2 x 5 x 5 + 5 x 5
  • 50 + 25
  • <u>75 ft²</u>
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