banner



how to find slant height of a pyramid

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 area of a regular pyramid is the sum of the areas of its lateral faces and its base.

The general formula for the lateral surface area of a regular pyramid is L . S . A . = 1 2 p l where p represents the perimeter of the base and l the slant height.

Example 1:

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

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

p = 3 ( 8 ) = 24 inches

L . S . A . = 1 2 ( 24 ) ( 5 ) = 60 inches 2

The general formula for the total surface area of a regular pyramid is T . S . A . = 1 2 p l + B where p represents the perimeter of the base, l the slant height and B the area of the base.

Example 2:

Find the total surface area of a regular pyramid with a square base if each edge of the base measures 16 inches, the slant height of a side is 17 inches and the altitude is 15 inches.

The perimeter of the base is 4 s since it is a square.

p = 4 ( 16 ) = 64 inches

The area of the base is s 2 .

B = 16 2 = 256 inches 2

T . S . A . = 1 2 ( 64 ) ( 17 ) + 256 = 544 + 256 = 800 inches 2

There is no formula for a surface area of a non-regular pyramid since slant height is not defined.  To find the area, find the area of each face and the area of the base and add them.

how to find slant height of a pyramid

Source: https://www.varsitytutors.com/hotmath/hotmath_help/topics/surface-area-of-a-pyramid

Posted by: dietzcorescoleat.blogspot.com

0 Response to "how to find slant height of a pyramid"

Post a Comment

Iklan Atas Artikel

Iklan Tengah Artikel 1

Iklan Tengah Artikel 2

Iklan Bawah Artikel