How To Find Base Area Of Pyramid

Surface Surface area of a Pyramid

The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.

The total surface expanse of a regular pyramid is the sum of the areas of its lateral faces and its base.

The full general formula for the lateral surface area of a regular pyramid is $L . South . A . = \frac{i}{2} p 50$ where $p$ represents the perimeter of the base and $50$ the slant height.

Example 1:

Find the lateral surface area of a regular pyramid with a triangular base of operations if each edge of the base of operations measures $8$ inches and the slant top is $5$ inches.

The perimeter of the base of operations is the sum of the sides.

$p = iii (viii) = 24 inches$

$L . S . A . = \frac{ane}{two} (24) (v) = 60 {inches}^{ii}$

The general formula for the total surface area of a regular pyramid is $T . S . A . = \frac{ane}{2} p l + B$ where $p$ represents the perimeter of the base, $l$ the camber height and $B$ the area of the base.

Example two:

Detect the total surface surface area of a regular pyramid with a foursquare base if each edge of the base of operations measures $16$ inches, the camber peak of a side is $17$ inches and the altitude is $15$ inches.

The perimeter of the base is $four due south$ since it is a square.

$p = 4 (xvi) = 64 inches$

The area of the base is $s^{2}$ .

$B = 16^{two} = 256 {inches}^{2}$

$\begin{array}{l} T . Due south . A . = \frac{1}{2} (64) (17) + 256 \\ = 544 + 256 \\ = 800 {inches}^{2} \end{array}$

In that location is no formula for a surface area of a non-regular pyramid since camber tiptop is non defined. To discover the area, detect the area of each face and the surface area of the base and add them.