Question

Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?​

Answer 1

The answer is "
`125 \ in^2`"

Explanation:

There is a base of five on every triangular face and a height of ten in. The field of the formulation

`A = ((1)/(2))bh \\\\A = ((1)/(2) * 5\ in * 10\ in)`

`= (50 )/(2) \ in^2\\\\=25 \ in^2\\\\`

The base of the square has a formula area

`A = s^2 = (5\ in)^2 = 25 \ in^2`

The total area consists of the sum of the four-face area and the base:
`total \ \ area = 4 * \text{(area of 1 face) + (area of base)}`

`= 4 * (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2`