Question

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

Answer 1

75 ft²

Explanation:

Surface Area :

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

Answer 2

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`

The surface area of the square (base) is 25ft²

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`

The surface area of the 4 triangles in the sides are 50ft²

Step 3

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

Just add! EASY!!!

25+50=75ft²

The total Surface Area of the Square Pyramid is 75ft²