Question

The net of a pyramid is shown below



The surface area of the solid is ____ square inches.

Numerical Answers Expected!

Answer 1

the surface area of the solid is 125 square inches

Answer 2

Answer:

The surface area of the solid is 125 in² .

Step-by-step explanation:

Formula

Area of a square = a²

$Area\ of\ a\ triangle = \frac{1}{2}\times base\times height$

Where a is the side of a square .

As shown in the figure the solid is made up of one square and four triangle .

Total area =  Area of a square + 4 × Area of a triangle

$Total\ area = 5\times 5 +4\times \frac{1}{2}\times 10\times 5$  

$Total\ area = 5\times 5 +2\times 10\times 5$  

Total area = 25 + 100

Total area = 125 in²

Therefore the surface area of the solid is 125 in² .